4741444713600 has 576 divisors, whose sum is σ = 19458784587840. Its totient is φ = 1076848680960.

The previous prime is 4741444713581. The next prime is 4741444713659. The reversal of 4741444713600 is 63174441474.

4741444713600 is a `hidden beast` number, since 4 + 7 + 4 + 144 + 471 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31576299 + ... + 31726101.

Almost surely, 2^{4741444713600} is an apocalyptic number.

4741444713600 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 4741444713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729392293920).

4741444713600 is an abundant number, since it is smaller than the sum of its proper divisors (14717339874240).

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

4741444713600 is a wasteful number, since it uses less digits than its factorization.

4741444713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149997 (or 149977 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 4741444713600 in words is "four trillion, seven hundred forty-one billion, four hundred forty-four million, seven hundred thirteen thousand, six hundred".