4511153516040 has 48 divisors (see below), whose sum is σ = 14661248928300. Its totient is φ = 1202974270848.

The previous prime is 4511153515951. The next prime is 4511153516117. The reversal of 4511153516040 is 406153511154.

4511153516040 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 15 + 35 + 1 + 604 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4509260744004 + 1892772036 = 2123502^2 + 43506^2 .

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 = 4511153515986 and 4511153516004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6265490635 + ... + 6265491354.

Almost surely, 2^{4511153516040} is an apocalyptic number.

4511153516040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4511153516040 is an abundant number, since it is smaller than the sum of its proper divisors (10150095412260).

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

4511153516040 is a wasteful number, since it uses less digits than its factorization.

4511153516040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530982006 (or 12530981999 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 4511153516040 in words is "four trillion, five hundred eleven billion, one hundred fifty-three million, five hundred sixteen thousand, forty".