5416295040 has 896 divisors, whose sum is σ = 22475577600. Its totient is φ = 1236197376.

The previous prime is 5416295029. The next prime is 5416295051. The reversal of 5416295040 is 405926145.

5416295040 is a `hidden beast` number, since 541 + 6 + 29 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5416295029) and next prime (5416295051).

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 = 5416294986 and 5416295004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115240297 + ... + 115240343.

It is an arithmetic number, because the mean of its divisors is an integer number (25084350).

Almost surely, 2^5416295040 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 5416295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237788800).

5416295040 is an abundant number, since it is smaller than the sum of its proper divisors (17059282560).

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

5416295040 is a wasteful number, since it uses less digits than its factorization.

5416295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5416295040 is about 73595.4824700538. The cubic root of 5416295040 is about 1756.1735740268.

The spelling of 5416295040 in words is "five billion, four hundred sixteen million, two hundred ninety-five thousand, forty".