37413742128 has 80 divisors (see below), whose sum is σ = 111121221120. Its totient is φ = 10625614848.

The previous prime is 37413742127. The next prime is 37413742141. The reversal of 37413742128 is 82124731473.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 37413742128.

It is not an unprimeable number, because it can be changed into a prime (37413742127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277273 + ... + 389496.

It is an arithmetic number, because the mean of its divisors is an integer number (1389015264).

Almost surely, 2^37413742128 is an apocalyptic number.

It is an amenable number.

37413742128 is an abundant number, since it is smaller than the sum of its proper divisors (73707478992).

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

37413742128 is a wasteful number, since it uses less digits than its factorization.

37413742128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666954 (or 666948 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The spelling of 37413742128 in words is "thirty-seven billion, four hundred thirteen million, seven hundred forty-two thousand, one hundred twenty-eight".