4017612960 has 240 divisors, whose sum is σ = 14526571752. Its totient is φ = 1045094400.

The previous prime is 4017612917. The next prime is 4017613003. The reversal of 4017612960 is 692167104.

4017612960 is a `hidden beast` number, since 401 + 76 + 129 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4017612917) and next prime (4017613003).

It can be written as a sum of positive squares in 4 ways, for example, as 1617004944 + 2400608016 = 40212^2 + 48996^2 .

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

It is a super-2 number, since 2×4017612960² = 32282427792719923200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527580 + ... + 535140.

Almost surely, 2^4017612960 is an apocalyptic number.

4017612960 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 4017612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263285876).

4017612960 is an abundant number, since it is smaller than the sum of its proper divisors (10508958792).

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

4017612960 is a wasteful number, since it uses less digits than its factorization.

4017612960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4017612960 is about 63384.6429350202. The cubic root of 4017612960 is about 1589.7275432051.

The spelling of 4017612960 in words is "four billion, seventeen million, six hundred twelve thousand, nine hundred sixty".