4738104139392 has 288 divisors, whose sum is σ = 15310690930080. Its totient is φ = 1457876579328.

The previous prime is 4738104139367. The next prime is 4738104139409. The reversal of 4738104139392 is 2939314018374.

4738104139392 is a `hidden beast` number, since 47 + 3 + 8 + 10 + 413 + 93 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4738104139392² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4805893 + ... + 5707259.

It is an arithmetic number, because the mean of its divisors is an integer number (53162121285).

Almost surely, 2^{4738104139392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4738104139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655345465040).

4738104139392 is an abundant number, since it is smaller than the sum of its proper divisors (10572586790688).

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

4738104139392 is an equidigital number, since it uses as much as digits as its factorization.

4738104139392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901422 (or 901385 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4738104139392 in words is "four trillion, seven hundred thirty-eight billion, one hundred four million, one hundred thirty-nine thousand, three hundred ninety-two".