540401300400 has 240 divisors, whose sum is σ = 1928531878560. Its totient is φ = 128434790400.

The previous prime is 540401300393. The next prime is 540401300441. The reversal of 540401300400 is 4003104045.

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

It is a super-2 number, since 2×540401300400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144861 + ... + 1049660.

It is an arithmetic number, because the mean of its divisors is an integer number (8035549494).

Almost surely, 2^540401300400 is an apocalyptic number.

540401300400 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 540401300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964265939280).

540401300400 is an abundant number, since it is smaller than the sum of its proper divisors (1388130578160).

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

540401300400 is a wasteful number, since it uses less digits than its factorization.

540401300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194584 (or 1194573 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 540401300400 its reverse (4003104045), we get a palindrome (544404404445).

The spelling of 540401300400 in words is "five hundred forty billion, four hundred one million, three hundred thousand, four hundred".