5033377440 has 576 divisors, whose sum is σ = 21477560832. Its totient is φ = 1045094400.

The previous prime is 5033377421. The next prime is 5033377441. The reversal of 5033377440 is 447733305.

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 = 5033377395 and 5033377404.

It is not an unprimeable number, because it can be changed into a prime (5033377441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9303570 + ... + 9304110.

It is an arithmetic number, because the mean of its divisors is an integer number (37287432).

Almost surely, 2^5033377440 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 5033377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738780416).

5033377440 is an abundant number, since it is smaller than the sum of its proper divisors (16444183392).

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

5033377440 is a wasteful number, since it uses less digits than its factorization.

5033377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 5033377440 is about 70946.2996920911. The cubic root of 5033377440 is about 1713.7724858872.

The spelling of 5033377440 in words is "five billion, thirty-three million, three hundred seventy-seven thousand, four hundred forty".