2401621239168 has 448 divisors, whose sum is σ = 7258675082400. Its totient is φ = 791094657024.

The previous prime is 2401621239161. The next prime is 2401621239221. The reversal of 2401621239168 is 8619321261042.

2401621239168 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 621 + 2 + 3 + 9 + 16 + 8 = 666.

2401621239168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401621239161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3568530480 + ... + 3568531152.

Almost surely, 2^{2401621239168} 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 2401621239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629337541200).

2401621239168 is an abundant number, since it is smaller than the sum of its proper divisors (4857053843232).

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

2401621239168 is an equidigital number, since it uses as much as digits as its factorization.

2401621239168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2401621239168 in words is "two trillion, four hundred one billion, six hundred twenty-one million, two hundred thirty-nine thousand, one hundred sixty-eight".