540311451435 has 96 divisors (see below), whose sum is σ = 1156420886400. Its totient is φ = 232470024192.

The previous prime is 540311451377. The next prime is 540311451481. The reversal of 540311451435 is 534154113045.

540311451435 is a `hidden beast` number, since 54 + 0 + 31 + 145 + 1 + 435 = 666.

It is not a de Polignac number, because 540311451435 - 2⁷ = 540311451307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540311451435.

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 95 ways as a sum of consecutive naturals, for example, 767182 + ... + 1291971.

It is an arithmetic number, because the mean of its divisors is an integer number (12046050900).

Almost surely, 2^540311451435 is an apocalyptic number.

540311451435 is an abundant number, since it is smaller than the sum of its proper divisors (616109434965).

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

540311451435 is a wasteful number, since it uses less digits than its factorization.

540311451435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059202 (or 2059185 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 540311451435 in words is "five hundred forty billion, three hundred eleven million, four hundred fifty-one thousand, four hundred thirty-five".