5196407040 has 288 divisors, whose sum is σ = 20117865600. Its totient is φ = 1259642880.

The previous prime is 5196407003. The next prime is 5196407113. The reversal of 5196407040 is 407046915.

5196407040 is a `hidden beast` number, since 5 + 1 + 9 + 640 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5196407040² = 54005292250723123200, which contains 22 as substring.

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 = 5196406986 and 5196407004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373326 + ... + 386994.

It is an arithmetic number, because the mean of its divisors is an integer number (69853700).

Almost surely, 2^5196407040 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 5196407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058932800).

5196407040 is an abundant number, since it is smaller than the sum of its proper divisors (14921458560).

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

5196407040 is a wasteful number, since it uses less digits than its factorization.

5196407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5196407040 is about 72086.1085091989. The cubic root of 5196407040 is about 1732.0790979172.

The spelling of 5196407040 in words is "five billion, one hundred ninety-six million, four hundred seven thousand, forty".