4717838390400 has 384 divisors, whose sum is σ = 17479164148800. Its totient is φ = 1258088371200.

The previous prime is 4717838390399. The next prime is 4717838390401. The reversal of 4717838390400 is 40938387174.

4717838390400 is a `hidden beast` number, since 4 + 7 + 1 + 78 + 3 + 83 + 90 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4717838390399) and next prime (4717838390401).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4717838390401) 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, 6661335 + ... + 7335465.

Almost surely, 2^{4717838390400} is an apocalyptic number.

4717838390400 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 4717838390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739582074400).

4717838390400 is an abundant number, since it is smaller than the sum of its proper divisors (12761325758400).

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

4717838390400 is an frugal number, since it uses more digits than its factorization.

4717838390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674176 (or 674141 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4717838390400 in words is "four trillion, seven hundred seventeen billion, eight hundred thirty-eight million, three hundred ninety thousand, four hundred".