4534325552400 has 480 divisors, whose sum is σ = 16913020140288. Its totient is φ = 1017053184000.

The previous prime is 4534325552363. The next prime is 4534325552441. The reversal of 4534325552400 is 42555234354.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 95845552 + ... + 95892848.

Almost surely, 2^{4534325552400} is an apocalyptic number.

4534325552400 is a gapful number since it is divisible by the number (40) 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 4534325552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456510070144).

4534325552400 is an abundant number, since it is smaller than the sum of its proper divisors (12378694587888).

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

4534325552400 is a wasteful number, since it uses less digits than its factorization.

4534325552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47539 (or 47528 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 4534325552400 in words is "four trillion, five hundred thirty-four billion, three hundred twenty-five million, five hundred fifty-two thousand, four hundred".