4002535314540 has 72 divisors (see below), whose sum is σ = 13875455761440. Its totient is φ = 914865214464.

The previous prime is 4002535314529. The next prime is 4002535314563. The reversal of 4002535314540 is 454135352004.

4002535314540 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 53 + 53 + 14 + 540 = 666.

4002535314540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4002535314495 and 4002535314504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588306405 + ... + 1588308924.

Almost surely, 2^{4002535314540} is an apocalyptic number.

It is an amenable number.

4002535314540 is an abundant number, since it is smaller than the sum of its proper divisors (9872920446900).

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

4002535314540 is a wasteful number, since it uses less digits than its factorization.

4002535314540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176615351 (or 3176615346 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 4002535314540 in words is "four trillion, two billion, five hundred thirty-five million, three hundred fourteen thousand, five hundred forty".