541427139600 has 240 divisors, whose sum is σ = 1804001869824. Its totient is φ = 138655296000.

The previous prime is 541427139553. The next prime is 541427139619. The reversal of 541427139600 is 6931724145.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4817649 + ... + 4928751.

Almost surely, 2^541427139600 is an apocalyptic number.

541427139600 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 541427139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902000934912).

541427139600 is an abundant number, since it is smaller than the sum of its proper divisors (1262574730224).

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

541427139600 is a wasteful number, since it uses less digits than its factorization.

541427139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111286 (or 111275 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 541427139600 in words is "five hundred forty-one billion, four hundred twenty-seven million, one hundred thirty-nine thousand, six hundred".