3998461054720 has 288 divisors, whose sum is σ = 10566469315584. Its totient is φ = 1437580492800.

The previous prime is 3998461054697. The next prime is 3998461054723. The reversal of 3998461054720 is 274501648993.

It is a super-2 number, since 2×3998461054720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998461054723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103630829 + ... + 1103634451.

It is an arithmetic number, because the mean of its divisors is an integer number (36689129568).

It is a 1-persistent number, because it is pandigital, but 2⋅3998461054720 = 7996922109440 is not.

Almost surely, 2^{3998461054720} 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 3998461054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283234657792).

3998461054720 is an abundant number, since it is smaller than the sum of its proper divisors (6568008260864).

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

3998461054720 is a wasteful number, since it uses less digits than its factorization.

3998461054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 3998461054720 in words is "three trillion, nine hundred ninety-eight billion, four hundred sixty-one million, fifty-four thousand, seven hundred twenty".