4361189040 has 240 divisors, whose sum is σ = 16358098848. Its totient is φ = 1073461248.

The previous prime is 4361189033. The next prime is 4361189047. The reversal of 4361189040 is 409811634.

4361189040 is a `hidden beast` number, since 436 + 1 + 189 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4361189033) and next prime (4361189047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4361189040² = 38039939685232243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4361188986 and 4361189004.

It is not an unprimeable number, because it can be changed into a prime (4361189047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244092 + ... + 261348.

Almost surely, 2^4361189040 is an apocalyptic number.

4361189040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4361189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179049424).

4361189040 is an abundant number, since it is smaller than the sum of its proper divisors (11996909808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4361189040 is a wasteful number, since it uses less digits than its factorization.

4361189040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17298 (or 17280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4361189040 is about 66039.2992088802. The cubic root of 4361189040 is about 1633.8103289164.

It can be divided in two parts, 43611 and 89040, that added together give a cube (132651 = 51³).

The spelling of 4361189040 in words is "four billion, three hundred sixty-one million, one hundred eighty-nine thousand, forty".