100038760526040 has 128 divisors (see below), whose sum is σ = 363165920616960. Its totient is φ = 21520943437824.

The previous prime is 100038760526011. The next prime is 100038760526051. The reversal of 100038760526040 is 40625067830001.

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 = 100038760525983 and 100038760526001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3502743442 + ... + 3502772001.

It is an arithmetic number, because the mean of its divisors is an integer number (2837233754820).

Almost surely, 2^{100038760526040} is an apocalyptic number.

100038760526040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100038760526040 is an abundant number, since it is smaller than the sum of its proper divisors (263127160090920).

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

100038760526040 is a wasteful number, since it uses less digits than its factorization.

100038760526040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005515481 (or 7005515477 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 100038760526040 in words is "one hundred trillion, thirty-eight billion, seven hundred sixty million, five hundred twenty-six thousand, forty".