4746149478400 has 360 divisors, whose sum is σ = 12871926144000. Its totient is φ = 1721597952000.

The previous prime is 4746149478359. The next prime is 4746149478401. The reversal of 4746149478400 is 48749416474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4746149478401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248293345 + ... + 2248295455.

It is an arithmetic number, because the mean of its divisors is an integer number (35755350400).

Almost surely, 2^{4746149478400} is an apocalyptic number.

4746149478400 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 4746149478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435963072000).

4746149478400 is an abundant number, since it is smaller than the sum of its proper divisors (8125776665600).

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

4746149478400 is a wasteful number, since it uses less digits than its factorization.

4746149478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 4746149478400 in words is "four trillion, seven hundred forty-six billion, one hundred forty-nine million, four hundred seventy-eight thousand, four hundred".