5070014400 has 336 divisors, whose sum is σ = 18309506688. Its totient is φ = 1218048000.

The previous prime is 5070014399. The next prime is 5070014401. The reversal of 5070014400 is 44100705.

It is an interprime number because it is at equal distance from previous prime (5070014399) and next prime (5070014401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5070014401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6916434 + ... + 6917166.

Almost surely, 2^5070014400 is an apocalyptic number.

5070014400 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 5070014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154753344).

5070014400 is an abundant number, since it is smaller than the sum of its proper divisors (13239492288).

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

5070014400 is a wasteful number, since it uses less digits than its factorization.

5070014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5070014400 is about 71204.0335936104. The cubic root of 5070014400 is about 1717.9205083467.

The spelling of 5070014400 in words is "five billion, seventy million, fourteen thousand, four hundred".