2401681806400 has 168 divisors, whose sum is σ = 6222301256160. Its totient is φ = 909872640000.

The previous prime is 2401681806397. The next prime is 2401681806421. The reversal of 2401681806400 is 46081861042.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 153542580 + ... + 153558220.

Almost surely, 2^{2401681806400} is an apocalyptic number.

2401681806400 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 2401681806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111150628080).

2401681806400 is an abundant number, since it is smaller than the sum of its proper divisors (3820619449760).

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

2401681806400 is a wasteful number, since it uses less digits than its factorization.

2401681806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20733 (or 20718 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 2401681806400 in words is "two trillion, four hundred one billion, six hundred eighty-one million, eight hundred six thousand, four hundred".