540150944400 has 90 divisors (see below), whose sum is σ = 1874473831490. Its totient is φ = 144040250880.

The previous prime is 540150944383. The next prime is 540150944407. The reversal of 540150944400 is 4449051045.

It can be written as a sum of positive squares in 3 ways, for example, as 67010570496 + 473140373904 = 258864^2 + 687852^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540150944407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75017365 + ... + 75024564.

Almost surely, 2^540150944400 is an apocalyptic number.

540150944400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540150944400 is an abundant number, since it is smaller than the sum of its proper divisors (1334322887090).

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

540150944400 is a wasteful number, since it uses less digits than its factorization.

540150944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150041953 (or 150041939 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 540150944400 its reverse (4449051045), we get a palindrome (544599995445).

The spelling of 540150944400 in words is "five hundred forty billion, one hundred fifty million, nine hundred forty-four thousand, four hundred".