4726938374400 has 1296 divisors, whose sum is σ = 17790064474112. Its totient is φ = 1103619686400.

The previous prime is 4726938374309. The next prime is 4726938374413. The reversal of 4726938374400 is 44738396274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10916716584 + ... + 10916717016.

Almost surely, 2^{4726938374400} is an apocalyptic number.

4726938374400 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 4726938374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895032237056).

4726938374400 is an abundant number, since it is smaller than the sum of its proper divisors (13063126099712).

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

4726938374400 is a wasteful number, since it uses less digits than its factorization.

4726938374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 4726938374400 in words is "four trillion, seven hundred twenty-six billion, nine hundred thirty-eight million, three hundred seventy-four thousand, four hundred".