40913198421120 has 192 divisors, whose sum is σ = 144724203482040. Its totient is φ = 10644084080640.

The previous prime is 40913198421119. The next prime is 40913198421133. The reversal of 40913198421120 is 2112489131904.

40913198421120 is a `hidden beast` number, since 4 + 0 + 9 + 13 + 1 + 98 + 421 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15851800770624 + 25061397650496 = 3981432^2 + 5006136^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86385619 + ... + 86857938.

Almost surely, 2^{40913198421120} is an apocalyptic number.

40913198421120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40913198421120 is an abundant number, since it is smaller than the sum of its proper divisors (103811005060920).

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

40913198421120 is a wasteful number, since it uses less digits than its factorization.

40913198421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173243623 (or 173243608 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 40913198421120 in words is "forty trillion, nine hundred thirteen billion, one hundred ninety-eight million, four hundred twenty-one thousand, one hundred twenty".