5720401440 has 480 divisors, whose sum is σ = 22898272320. Its totient is φ = 1333241856.

The previous prime is 5720401439. The next prime is 5720401469. The reversal of 5720401440 is 441040275.

5720401440 is a `hidden beast` number, since 572 + 0 + 40 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3200227 + ... + 3202013.

It is an arithmetic number, because the mean of its divisors is an integer number (47704734).

Almost surely, 2^5720401440 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 5720401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11449136160).

5720401440 is an abundant number, since it is smaller than the sum of its proper divisors (17177870880).

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

5720401440 is a wasteful number, since it uses less digits than its factorization.

5720401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 5720401440 is about 75633.3355075657. The cubic root of 5720401440 is about 1788.4446441564. Note that the first 3 decimals are identical.

The spelling of 5720401440 in words is "five billion, seven hundred twenty million, four hundred one thousand, four hundred forty".