5040764245440 has 2016 divisors, whose sum is σ = 22665181593600. Its totient is φ = 1005447168000.

The previous prime is 5040764245421. The next prime is 5040764245457. The reversal of 5040764245440 is 445424670405.

It is a happy number.

5040764245440 is a `hidden beast` number, since 5 + 0 + 40 + 7 + 64 + 2 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14443450386 + ... + 14443450734.

It is an arithmetic number, because the mean of its divisors is an integer number (11242649600).

Almost surely, 2^{5040764245440} 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 5040764245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332590796800).

5040764245440 is an abundant number, since it is smaller than the sum of its proper divisors (17624417348160).

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

5040764245440 is a wasteful number, since it uses less digits than its factorization.

5040764245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 5040764245440 in words is "five trillion, forty billion, seven hundred sixty-four million, two hundred forty-five thousand, four hundred forty".