3975263111040 has 128 divisors (see below), whose sum is σ = 13645855188000. Its totient is φ = 978526298112.

The previous prime is 3975263111023. The next prime is 3975263111047. The reversal of 3975263111040 is 401113625793.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3975263110983 and 3975263111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975263111047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79607715 + ... + 79657634.

Almost surely, 2^{3975263111040} is an apocalyptic number.

3975263111040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3975263111040 is an abundant number, since it is smaller than the sum of its proper divisors (9670592076960).

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

3975263111040 is a wasteful number, since it uses less digits than its factorization.

3975263111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159265384 (or 159265372 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 3975263111040 in words is "three trillion, nine hundred seventy-five billion, two hundred sixty-three million, one hundred eleven thousand, forty".