10981202125040 has 80 divisors (see below), whose sum is σ = 29183787356160. Its totient is φ = 3764317190400.

The previous prime is 10981202124983. The next prime is 10981202125097. The reversal of 10981202125040 is 4052120218901.

10981202125040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10981202124983) and next prime (10981202125097).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10981202125040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436465 + ... + 4901615.

It is an arithmetic number, because the mean of its divisors is an integer number (364797341952).

Almost surely, 2^{10981202125040} is an apocalyptic number.

10981202125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10981202125040 is an abundant number, since it is smaller than the sum of its proper divisors (18202585231120).

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

10981202125040 is a wasteful number, since it uses less digits than its factorization.

10981202125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470830 (or 3470824 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 10981202125040 in words is "ten trillion, nine hundred eighty-one billion, two hundred two million, one hundred twenty-five thousand, forty".