5416624313640 has 256 divisors, whose sum is σ = 18562707187200. Its totient is φ = 1403931045888.

The previous prime is 5416624313621. The next prime is 5416624313641. The reversal of 5416624313640 is 463134266145.

5416624313640 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 624 + 3 + 13 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5416624313641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38571232 + ... + 38711408.

It is an arithmetic number, because the mean of its divisors is an integer number (72510574950).

Almost surely, 2^{5416624313640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5416624313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281353593600).

5416624313640 is an abundant number, since it is smaller than the sum of its proper divisors (13146082873560).

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

5416624313640 is a wasteful number, since it uses less digits than its factorization.

5416624313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141201 (or 141191 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 5416624313640 its reverse (463134266145), we get a palindrome (5879758579785).

The spelling of 5416624313640 in words is "five trillion, four hundred sixteen billion, six hundred twenty-four million, three hundred thirteen thousand, six hundred forty".