4741161129600 has 768 divisors, whose sum is σ = 18799177728000. Its totient is φ = 1048713523200.

The previous prime is 4741161129599. The next prime is 4741161129629. The reversal of 4741161129600 is 69211611474.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102053577 + ... + 102100023.

It is an arithmetic number, because the mean of its divisors is an integer number (24478096000).

Almost surely, 2^{4741161129600} is an apocalyptic number.

4741161129600 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 4741161129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399588864000).

4741161129600 is an abundant number, since it is smaller than the sum of its proper divisors (14058016598400).

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

4741161129600 is a wasteful number, since it uses less digits than its factorization.

4741161129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46526 (or 46495 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 4741161129600 in words is "four trillion, seven hundred forty-one billion, one hundred sixty-one million, one hundred twenty-nine thousand, six hundred".