37271216400144 has 40 divisors (see below), whose sum is σ = 96286789765920. Its totient is φ = 12423375694848.

The previous prime is 37271216400127. The next prime is 37271216400281. The reversal of 37271216400144 is 44100461217273.

It is a junction number, because it is equal to n+sod(n) for n = 37271216400096 and 37271216400105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9685089 + ... + 12974720.

It is an arithmetic number, because the mean of its divisors is an integer number (2407169744148).

Almost surely, 2^{37271216400144} is an apocalyptic number.

It is an amenable number.

37271216400144 is an abundant number, since it is smaller than the sum of its proper divisors (59015573365776).

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

37271216400144 is a wasteful number, since it uses less digits than its factorization.

37271216400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694087 (or 22694081 counting only the distinct ones).

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

The spelling of 37271216400144 in words is "thirty-seven trillion, two hundred seventy-one billion, two hundred sixteen million, four hundred thousand, one hundred forty-four".