541136784400 has 45 divisors (see below), whose sum is σ = 1300116472023. Its totient is φ = 216448828800.

The previous prime is 541136784337. The next prime is 541136784431. The reversal of 541136784400 is 4487631145.

The square root of 541136784400 is 735620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 303367420944 + 237769363456 = 550788^2 + 487616^2 .

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, 14694010 + ... + 14730790.

Almost surely, 2^541136784400 is an apocalyptic number.

541136784400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541136784400 is the 735620-th square number.

It is an amenable number.

541136784400 is an abundant number, since it is smaller than the sum of its proper divisors (758979687623).

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

541136784400 is an frugal number, since it uses more digits than its factorization.

541136784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73580 (or 36788 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 541136784400 in words is "five hundred forty-one billion, one hundred thirty-six million, seven hundred eighty-four thousand, four hundred".