4516402004640 has 576 divisors, whose sum is σ = 16767357384960. Its totient is φ = 1146445332480.

The previous prime is 4516402004633. The next prime is 4516402004683. The reversal of 4516402004640 is 464002046154.

4516402004640 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 4 + 0 + 2 + 0 + 0 + 4 + 640 = 666.

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 = 4516402004595 and 4516402004604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80025712 + ... + 80082128.

It is an arithmetic number, because the mean of its divisors is an integer number (29109995460).

Almost surely, 2^{4516402004640} is an apocalyptic number.

4516402004640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516402004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383678692480).

4516402004640 is an abundant number, since it is smaller than the sum of its proper divisors (12250955380320).

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

4516402004640 is a wasteful number, since it uses less digits than its factorization.

4516402004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56547 (or 56527 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4516402004640 in words is "four trillion, five hundred sixteen billion, four hundred two million, four thousand, six hundred forty".