5402936000 has 448 divisors, whose sum is σ = 17117568000. Its totient is φ = 1674624000.

The previous prime is 5402935997. The next prime is 5402936023. The reversal of 5402936000 is 6392045.

It is a tau number, because it is divible by the number of its divisors (448).

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, 30183911 + ... + 30184089.

Almost surely, 2^5402936000 is an apocalyptic number.

5402936000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5402936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784000).

5402936000 is an abundant number, since it is smaller than the sum of its proper divisors (11714632000).

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

5402936000 is a wasteful number, since it uses less digits than its factorization.

5402936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 5402936000 is about 73504.6665185279. Note that the first 3 decimals coincide. The cubic root of 5402936000 is about 1754.7285451746.

The spelling of 5402936000 in words is "five billion, four hundred two million, nine hundred thirty-six thousand".