40970374931600 has 240 divisors, whose sum is σ = 108852904218240. Its totient is φ = 14739941990400.

The previous prime is 40970374931597. The next prime is 40970374931659. The reversal of 40970374931600 is 613947307904.

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 47 ways as a sum of consecutive naturals, for example, 170512346 + ... + 170752454.

It is an arithmetic number, because the mean of its divisors is an integer number (453553767576).

Almost surely, 2^{40970374931600} is an apocalyptic number.

40970374931600 is a gapful number since it is divisible by the number (40) 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 40970374931600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54426452109120).

40970374931600 is an abundant number, since it is smaller than the sum of its proper divisors (67882529286640).

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

40970374931600 is a wasteful number, since it uses less digits than its factorization.

40970374931600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241258 (or 241247 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 53.

The spelling of 40970374931600 in words is "forty trillion, nine hundred seventy billion, three hundred seventy-four million, nine hundred thirty-one thousand, six hundred".