4581491846400 has 648 divisors, whose sum is σ = 19542735018240. Its totient is φ = 1047196200960.

The previous prime is 4581491846363. The next prime is 4581491846423. The reversal of 4581491846400 is 46481941854.

4581491846400 is a `hidden beast` number, since 4 + 58 + 1 + 4 + 9 + 184 + 6 + 400 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8196657 + ... + 8737743.

Almost surely, 2^{4581491846400} is an apocalyptic number.

4581491846400 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 4581491846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771367509120).

4581491846400 is an abundant number, since it is smaller than the sum of its proper divisors (14961243171840).

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

4581491846400 is a wasteful number, since it uses less digits than its factorization.

4581491846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541136 (or 541104 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4581491846400 in words is "four trillion, five hundred eighty-one billion, four hundred ninety-one million, eight hundred forty-six thousand, four hundred".