5038561440 has 432 divisors, whose sum is σ = 19440334368. Its totient is φ = 1178496000.

The previous prime is 5038561427. The next prime is 5038561499. The reversal of 5038561440 is 441658305.

It is a happy number.

5038561440 is a `hidden beast` number, since 5 + 0 + 38 + 5 + 614 + 4 + 0 = 666.

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 = 5038561395 and 5038561404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15222075 + ... + 15222405.

It is an arithmetic number, because the mean of its divisors is an integer number (45000774).

Almost surely, 2^5038561440 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 5038561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720167184).

5038561440 is an abundant number, since it is smaller than the sum of its proper divisors (14401772928).

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

5038561440 is a wasteful number, since it uses less digits than its factorization.

5038561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5038561440 is about 70982.8249649167. The cubic root of 5038561440 is about 1714.3606362493.

The spelling of 5038561440 in words is "five billion, thirty-eight million, five hundred sixty-one thousand, four hundred forty".