5117437440 has 800 divisors, whose sum is σ = 20320217280. Its totient is φ = 1226244096.

The previous prime is 5117437373. The next prime is 5117437489. The reversal of 5117437440 is 447347115.

5117437440 is a `hidden beast` number, since 511 + 74 + 3 + 74 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5117437395 and 5117437404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138309102 + ... + 138309138.

Almost surely, 2^5117437440 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 5117437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160108640).

5117437440 is an abundant number, since it is smaller than the sum of its proper divisors (15202779840).

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

5117437440 is a wasteful number, since it uses less digits than its factorization.

5117437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5117437440 is about 71536.2666065262. The cubic root of 5117437440 is about 1723.2601588234.

The spelling of 5117437440 in words is "five billion, one hundred seventeen million, four hundred thirty-seven thousand, four hundred forty".