5359906440 has 384 divisors, whose sum is σ = 20904998400. Its totient is φ = 1165086720.

The previous prime is 5359906429. The next prime is 5359906451. The reversal of 5359906440 is 446099535.

5359906440 is a `hidden beast` number, since 53 + 599 + 0 + 6 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5359906429) and next prime (5359906451).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5188164 + ... + 5189196.

It is an arithmetic number, because the mean of its divisors is an integer number (54440100).

Almost surely, 2^5359906440 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 5359906440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452499200).

5359906440 is an abundant number, since it is smaller than the sum of its proper divisors (15545091960).

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

5359906440 is a wasteful number, since it uses less digits than its factorization.

5359906440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5359906440 is about 73211.3819019966. The cubic root of 5359906440 is about 1750.0578418977.

The spelling of 5359906440 in words is "five billion, three hundred fifty-nine million, nine hundred six thousand, four hundred forty".