5405279040 has 560 divisors, whose sum is σ = 22706770944. Its totient is φ = 1195637760.

The previous prime is 5405279021. The next prime is 5405279083. The reversal of 5405279040 is 409725045.

5405279040 is a `hidden beast` number, since 5 + 4 + 0 + 527 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5405278986 and 5405279004.

It is a congruent number.

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, 174363825 + ... + 174363855.

Almost surely, 2^5405279040 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 5405279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353385472).

5405279040 is an abundant number, since it is smaller than the sum of its proper divisors (17301491904).

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

5405279040 is an frugal number, since it uses more digits than its factorization.

5405279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5405279040 is about 73520.6028266907. The cubic root of 5405279040 is about 1754.9821606778.

The spelling of 5405279040 in words is "five billion, four hundred five million, two hundred seventy-nine thousand, forty".