10401314400 has 432 divisors, whose sum is σ = 38956881600. Its totient is φ = 2604026880.

The previous prime is 10401314369. The next prime is 10401314431. The reversal of 10401314400 is 441310401.

It is an interprime number because it is at equal distance from previous prime (10401314369) and next prime (10401314431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19014927 + ... + 19015473.

Almost surely, 2^10401314400 is an apocalyptic number.

10401314400 is a gapful number since it is divisible by the number (10) 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 10401314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478440800).

10401314400 is an abundant number, since it is smaller than the sum of its proper divisors (28555567200).

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

10401314400 is a wasteful number, since it uses less digits than its factorization.

10401314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10401314400 its reverse (441310401), we get a palindrome (10842624801).

The spelling of 10401314400 in words is "ten billion, four hundred one million, three hundred fourteen thousand, four hundred".