43872941952 has 512 divisors, whose sum is σ = 160849920000. Its totient is φ = 11488573440.

The previous prime is 43872941927. The next prime is 43872941963. The reversal of 43872941952 is 25914927834.

43872941952 is a `hidden beast` number, since 438 + 72 + 94 + 1 + 9 + 52 = 666.

43872941952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14247549 + ... + 14250627.

It is an arithmetic number, because the mean of its divisors is an integer number (314160000).

Almost surely, 2^43872941952 is an apocalyptic number.

43872941952 is a gapful number since it is divisible by the number (42) 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 43872941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80424960000).

43872941952 is an abundant number, since it is smaller than the sum of its proper divisors (116976978048).

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

43872941952 is a wasteful number, since it uses less digits than its factorization.

43872941952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3141 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 43872941952 in words is "forty-three billion, eight hundred seventy-two million, nine hundred forty-one thousand, nine hundred fifty-two".