4700442938400 has 1152 divisors, whose sum is σ = 19742486400000. Its totient is φ = 1067306803200.

The previous prime is 4700442938377. The next prime is 4700442938473. The reversal of 4700442938400 is 48392440074.

4700442938400 is a `hidden beast` number, since 47 + 0 + 0 + 442 + 93 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401775751 + ... + 401787449.

It is an arithmetic number, because the mean of its divisors is an integer number (17137575000).

Almost surely, 2^{4700442938400} is an apocalyptic number.

4700442938400 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 4700442938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871243200000).

4700442938400 is an abundant number, since it is smaller than the sum of its proper divisors (15042043461600).

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

4700442938400 is a wasteful number, since it uses less digits than its factorization.

4700442938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4700442938400 in words is "four trillion, seven hundred billion, four hundred forty-two million, nine hundred thirty-eight thousand, four hundred".