40455604224 has 672 divisors, whose sum is σ = 143226720000. Its totient is φ = 11412430848.

The previous prime is 40455604219. The next prime is 40455604249. The reversal of 40455604224 is 42240655404.

40455604224 is a `hidden beast` number, since 4 + 0 + 45 + 5 + 604 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 512096217 + ... + 512096295.

It is an arithmetic number, because the mean of its divisors is an integer number (213135000).

Almost surely, 2^40455604224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40455604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71613360000).

40455604224 is an abundant number, since it is smaller than the sum of its proper divisors (102771115776).

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

40455604224 is an frugal number, since it uses more digits than its factorization.

40455604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 40455604224 in words is "forty billion, four hundred fifty-five million, six hundred four thousand, two hundred twenty-four".