3975701130240 has 1056 divisors, whose sum is σ = 15540970728960. Its totient is φ = 863275843584.

The previous prime is 3975701130173. The next prime is 3975701130253. The reversal of 3975701130240 is 420311075793.

It is a super-2 number, since 2×3975701130240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3975701130192 and 3975701130201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2821646656 + ... + 2821648064.

Almost surely, 2^{3975701130240} is an apocalyptic number.

3975701130240 is a gapful number since it is divisible by the number (30) 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 3975701130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770485364480).

3975701130240 is an abundant number, since it is smaller than the sum of its proper divisors (11565269598720).

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

3975701130240 is a wasteful number, since it uses less digits than its factorization.

3975701130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 3975701130240 in words is "three trillion, nine hundred seventy-five billion, seven hundred one million, one hundred thirty thousand, two hundred forty".