54434462400 has 840 divisors, whose sum is σ = 218965735296. Its totient is φ = 13204684800.

The previous prime is 54434462387. The next prime is 54434462443. The reversal of 54434462400 is 426443445.

54434462400 is a `hidden beast` number, since 544 + 34 + 46 + 2 + 40 + 0 = 666.

54434462400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54434462400² (a number of 22 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 68298802 + ... + 68299598.

Almost surely, 2^54434462400 is an apocalyptic number.

54434462400 is a gapful number since it is divisible by the number (50) 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 54434462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109482867648).

54434462400 is an abundant number, since it is smaller than the sum of its proper divisors (164531272896).

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

54434462400 is a wasteful number, since it uses less digits than its factorization.

54434462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 54434462400 in words is "fifty-four billion, four hundred thirty-four million, four hundred sixty-two thousand, four hundred".