5910097440 has 384 divisors, whose sum is σ = 21405081600. Its totient is φ = 1358622720.

The previous prime is 5910097409. The next prime is 5910097441. The reversal of 5910097440 is 447900195.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5910097441) 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, 9365925 + ... + 9366555.

It is an arithmetic number, because the mean of its divisors is an integer number (55742400).

Almost surely, 2^5910097440 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 5910097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702540800).

5910097440 is an abundant number, since it is smaller than the sum of its proper divisors (15494984160).

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

5910097440 is a wasteful number, since it uses less digits than its factorization.

5910097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 5910097440 is about 76877.1581160490. The cubic root of 5910097440 is about 1807.9991156964. Note that the first 3 decimals are identical.

The spelling of 5910097440 in words is "five billion, nine hundred ten million, ninety-seven thousand, four hundred forty".