541100152400 has 120 divisors (see below), whose sum is σ = 1329691632384. Its totient is φ = 211509619200.

The previous prime is 541100152399. The next prime is 541100152421. The reversal of 541100152400 is 4251001145.

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, 12405029 + ... + 12448571.

Almost surely, 2^541100152400 is an apocalyptic number.

541100152400 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 541100152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664845816192).

541100152400 is an abundant number, since it is smaller than the sum of its proper divisors (788591479984).

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

541100152400 is a wasteful number, since it uses less digits than its factorization.

541100152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44269 (or 44258 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 541100152400 its reverse (4251001145), we get a palindrome (545351153545).

The spelling of 541100152400 in words is "five hundred forty-one billion, one hundred million, one hundred fifty-two thousand, four hundred".