540031451522400 has 288 divisors, whose sum is σ = 1958909365838880. Its totient is φ = 143581060546560.

The previous prime is 540031451522393. The next prime is 540031451522429. The reversal of 540031451522400 is 4225154130045.

540031451522400 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 314 + 51 + 52 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×540031451522400² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29814949 + ... + 44373348.

It is an arithmetic number, because the mean of its divisors is an integer number (6801768631385).

Almost surely, 2^{540031451522400} is an apocalyptic number.

540031451522400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540031451522400 is an abundant number, since it is smaller than the sum of its proper divisors (1418877914316480).

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

540031451522400 is a wasteful number, since it uses less digits than its factorization.

540031451522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74188663 (or 74188644 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 540031451522400 in words is "five hundred forty trillion, thirty-one billion, four hundred fifty-one million, five hundred twenty-two thousand, four hundred".