5107366440 has 640 divisors, whose sum is σ = 20872080000. Its totient is φ = 1103984640.

The previous prime is 5107366417. The next prime is 5107366463. The reversal of 5107366440 is 446637015.

It is a happy number.

5107366440 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 3 + 6 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5107366417) and next prime (5107366463).

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 = 5107366395 and 5107366404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 268808751 + ... + 268808769.

It is an arithmetic number, because the mean of its divisors is an integer number (32612625).

Almost surely, 2^5107366440 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 5107366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436040000).

5107366440 is an abundant number, since it is smaller than the sum of its proper divisors (15764713560).

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

5107366440 is a wasteful number, since it uses less digits than its factorization.

5107366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5107366440 is about 71465.8410711019. The cubic root of 5107366440 is about 1722.1289709034.

The spelling of 5107366440 in words is "five billion, one hundred seven million, three hundred sixty-six thousand, four hundred forty".