4736994134400 has 768 divisors, whose sum is σ = 19522279065600. Its totient is φ = 1111311360000.

The previous prime is 4736994134381. The next prime is 4736994134503. The reversal of 4736994134400 is 44314996374.

4736994134400 is a `hidden beast` number, since 4 + 73 + 6 + 99 + 41 + 3 + 440 + 0 = 666.

It is a super-2 number, since 2×4736994134400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29382010 + ... + 29542790.

It is an arithmetic number, because the mean of its divisors is an integer number (25419634200).

Almost surely, 2^{4736994134400} is an apocalyptic number.

4736994134400 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 4736994134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761139532800).

4736994134400 is an abundant number, since it is smaller than the sum of its proper divisors (14785284931200).

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

4736994134400 is a wasteful number, since it uses less digits than its factorization.

4736994134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160856 (or 160833 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 4736994134400 in words is "four trillion, seven hundred thirty-six billion, nine hundred ninety-four million, one hundred thirty-four thousand, four hundred".