54459431040 has 768 divisors, whose sum is σ = 212184023040. Its totient is φ = 11831500800.

The previous prime is 54459431029. The next prime is 54459431069. The reversal of 54459431040 is 4013495445.

It is a self number, because there is not a number n which added to its sum of digits gives 54459431040.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207069949 + ... + 207070211.

It is an arithmetic number, because the mean of its divisors is an integer number (276281280).

Almost surely, 2^54459431040 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 54459431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106092011520).

54459431040 is an abundant number, since it is smaller than the sum of its proper divisors (157724592000).

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

54459431040 is a wasteful number, since it uses less digits than its factorization.

54459431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 54459431040 in words is "fifty-four billion, four hundred fifty-nine million, four hundred thirty-one thousand, forty".