4374152640 has 1008 divisors, whose sum is σ = 19143146880. Its totient is φ = 905748480.

The previous prime is 4374152639. The next prime is 4374152641. The reversal of 4374152640 is 462514734.

4374152640 is a `hidden beast` number, since 4 + 3 + 7 + 4 + 1 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4374152639) and next prime (4374152641).

It is a super-2 number, since 2×4374152640² = 38266422636037939200, which contains 22 as substring.

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 = 4374152595 and 4374152604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101724459 + ... + 101724501.

Almost surely, 2^4374152640 is an apocalyptic number.

4374152640 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 4374152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571573440).

4374152640 is an abundant number, since it is smaller than the sum of its proper divisors (14768994240).

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

4374152640 is a wasteful number, since it uses less digits than its factorization.

4374152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4374152640 is about 66137.3770269127. The cubic root of 4374152640 is about 1635.4275570099.

The spelling of 4374152640 in words is "four billion, three hundred seventy-four million, one hundred fifty-two thousand, six hundred forty".