5901433440 has 384 divisors, whose sum is σ = 22617584640. Its totient is φ = 1263403008.

The previous prime is 5901433429. The next prime is 5901433457. The reversal of 5901433440 is 443341095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6192004 + ... + 6192956.

It is an arithmetic number, because the mean of its divisors is an integer number (58899960).

Almost surely, 2^5901433440 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 5901433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308792320).

5901433440 is an abundant number, since it is smaller than the sum of its proper divisors (16716151200).

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

5901433440 is a wasteful number, since it uses less digits than its factorization.

5901433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5901433440 is about 76820.7878116334. The cubic root of 5901433440 is about 1807.1151954069.

The spelling of 5901433440 in words is "five billion, nine hundred one million, four hundred thirty-three thousand, four hundred forty".