44506151042040 has 160 divisors (see below), whose sum is σ = 149594361840000. Its totient is φ = 11867970306816.

The previous prime is 44506151042021. The next prime is 44506151042053. The reversal of 44506151042040 is 4024015160544.

44506151042040 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 61 + 510 + 42 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44506151041986 and 44506151042004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126829546 + ... + 127179974.

It is an arithmetic number, because the mean of its divisors is an integer number (934964761500).

Almost surely, 2^{44506151042040} is an apocalyptic number.

44506151042040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44506151042040 is an abundant number, since it is smaller than the sum of its proper divisors (105088210797960).

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

44506151042040 is a wasteful number, since it uses less digits than its factorization.

44506151042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389651 (or 389638 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 44506151042040 in words is "forty-four trillion, five hundred six billion, one hundred fifty-one million, forty-two thousand, forty".