4270359878400 has 2592 divisors, whose sum is σ = 18931338316800. Its totient is φ = 845124403200.

The previous prime is 4270359878383. The next prime is 4270359878417. The reversal of 4270359878400 is 48789530724.

It is an interprime number because it is at equal distance from previous prime (4270359878383) and next prime (4270359878417).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18327724684 + ... + 18327724916.

Almost surely, 2^{4270359878400} is an apocalyptic number.

4270359878400 is a gapful number since it is divisible by the number (40) 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 4270359878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465669158400).

4270359878400 is an abundant number, since it is smaller than the sum of its proper divisors (14660978438400).

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

4270359878400 is a wasteful number, since it uses less digits than its factorization.

4270359878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 4270359878400 in words is "four trillion, two hundred seventy billion, three hundred fifty-nine million, eight hundred seventy-eight thousand, four hundred".