541482011400 has 192 divisors, whose sum is σ = 1856280208320. Its totient is φ = 129470054400.

The previous prime is 541482011353. The next prime is 541482011453. The reversal of 541482011400 is 4110284145.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 80137 + ... + 1043736.

It is an arithmetic number, because the mean of its divisors is an integer number (9668126085).

Almost surely, 2^541482011400 is an apocalyptic number.

541482011400 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 541482011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928140104160).

541482011400 is an abundant number, since it is smaller than the sum of its proper divisors (1314798196920).

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

541482011400 is a wasteful number, since it uses less digits than its factorization.

541482011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123976 (or 1123967 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 541482011400 its reverse (4110284145), we get a palindrome (545592295545).

The spelling of 541482011400 in words is "five hundred forty-one billion, four hundred eighty-two million, eleven thousand, four hundred".