4742846438400 has 2112 divisors, whose sum is σ = 20814383349760. Its totient is φ = 1035539251200.

The previous prime is 4742846438389. The next prime is 4742846438401. The reversal of 4742846438400 is 48346482474.

4742846438400 is a `hidden beast` number, since 4 + 74 + 2 + 84 + 64 + 38 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742846438401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15449011047 + ... + 15449011353.

Almost surely, 2^{4742846438400} is an apocalyptic number.

4742846438400 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 4742846438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407191674880).

4742846438400 is an abundant number, since it is smaller than the sum of its proper divisors (16071536911360).

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

4742846438400 is a wasteful number, since it uses less digits than its factorization.

4742846438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 4742846438400 in words is "four trillion, seven hundred forty-two billion, eight hundred forty-six million, four hundred thirty-eight thousand, four hundred".