534354112360400 has 120 divisors (see below), whose sum is σ = 1313126805576960. Its totient is φ = 208870616481280.

The previous prime is 534354112360351. The next prime is 534354112360417. The reversal of 534354112360400 is 4063211453435.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9801695 + ... + 34128894.

It is an arithmetic number, because the mean of its divisors is an integer number (10942723379808).

Almost surely, 2^{534354112360400} is an apocalyptic number.

534354112360400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534354112360400 is an abundant number, since it is smaller than the sum of its proper divisors (778772693216560).

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

534354112360400 is a wasteful number, since it uses less digits than its factorization.

534354112360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43931301 (or 43931290 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 534354112360400 in words is "five hundred thirty-four trillion, three hundred fifty-four billion, one hundred twelve million, three hundred sixty thousand, four hundred".