5029633440 has 672 divisors, whose sum is σ = 19990043136. Its totient is φ = 1186928640.

The previous prime is 5029633391. The next prime is 5029633459. The reversal of 5029633440 is 443369205.

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 = 5029633395 and 5029633404.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47005867 + ... + 47005973.

It is an arithmetic number, because the mean of its divisors is an integer number (29747088).

Almost surely, 2^5029633440 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 5029633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995021568).

5029633440 is an abundant number, since it is smaller than the sum of its proper divisors (14960409696).

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

5029633440 is a wasteful number, since it uses less digits than its factorization.

5029633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5029633440 is about 70919.9086293828. The cubic root of 5029633440 is about 1713.3474594296.

The spelling of 5029633440 in words is "five billion, twenty-nine million, six hundred thirty-three thousand, four hundred forty".