2401891430400 has 2808 divisors, whose sum is σ = 11506082751072. Its totient is φ = 467140608000.

The previous prime is 2401891430381. The next prime is 2401891430401. The reversal of 2401891430400 is 40341981042.

It is a happy number.

2401891430400 is a `hidden beast` number, since 2 + 4 + 0 + 189 + 1 + 430 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2401891430401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13270118310 + ... + 13270118490.

Almost surely, 2^{2401891430400} is an apocalyptic number.

2401891430400 is a gapful number since it is divisible by the number (20) 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 2401891430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753041375536).

2401891430400 is an abundant number, since it is smaller than the sum of its proper divisors (9104191320672).

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

2401891430400 is a wasteful number, since it uses less digits than its factorization.

2401891430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2401891430400 in words is "two trillion, four hundred one billion, eight hundred ninety-one million, four hundred thirty thousand, four hundred".