40446991872 has 640 divisors, whose sum is σ = 151318886400. Its totient is φ = 10393878528.

The previous prime is 40446991859. The next prime is 40446991919. The reversal of 40446991872 is 27819964404.

40446991872 is a `hidden beast` number, since 40 + 446 + 9 + 91 + 8 + 72 = 666.

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, 37835754 + ... + 37836822.

It is an arithmetic number, because the mean of its divisors is an integer number (236435760).

Almost surely, 2^40446991872 is an apocalyptic number.

40446991872 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 40446991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75659443200).

40446991872 is an abundant number, since it is smaller than the sum of its proper divisors (110871894528).

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

40446991872 is a wasteful number, since it uses less digits than its factorization.

40446991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 40446991872 in words is "forty billion, four hundred forty-six million, nine hundred ninety-one thousand, eight hundred seventy-two".