39574085421312 has 144 divisors (see below), whose sum is σ = 126029650884480. Its totient is φ = 12176641640448.

The previous prime is 39574085421259. The next prime is 39574085421341. The reversal of 39574085421312 is 21312458047593.

39574085421312 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 408 + 5 + 4 + 213 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×39574085421312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 220118508 + ... + 220298219.

It is an arithmetic number, because the mean of its divisors is an integer number (875205908920).

Almost surely, 2^{39574085421312} is an apocalyptic number.

39574085421312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39574085421312 is an abundant number, since it is smaller than the sum of its proper divisors (86455565463168).

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

39574085421312 is a wasteful number, since it uses less digits than its factorization.

39574085421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440416765 (or 440416745 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 39574085421312 in words is "thirty-nine trillion, five hundred seventy-four billion, eighty-five million, four hundred twenty-one thousand, three hundred twelve".