541431072400 has 45 divisors (see below), whose sum is σ = 1300823508553. Its totient is φ = 216566542400.

The previous prime is 541431072349. The next prime is 541431072517. The reversal of 541431072400 is 4270134145.

The square root of 541431072400 is 735820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 194915186064 + 346515886336 = 441492^2 + 588656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14698005 + ... + 14734795.

Almost surely, 2^541431072400 is an apocalyptic number.

541431072400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541431072400 is the 735820-th square number.

It is an amenable number.

541431072400 is an abundant number, since it is smaller than the sum of its proper divisors (759392436153).

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

541431072400 is an frugal number, since it uses more digits than its factorization.

541431072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73600 (or 36798 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 541431072400 in words is "five hundred forty-one billion, four hundred thirty-one million, seventy-two thousand, four hundred".