1401102259200 has 396 divisors, whose sum is σ = 5733273954720. Its totient is φ = 320251576320.

The previous prime is 1401102259171. The next prime is 1401102259223. The reversal of 1401102259200 is 29522011041.

1401102259200 is a `hidden beast` number, since 1 + 40 + 1 + 10 + 22 + 592 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1178431 + ... + 2047169.

Almost surely, 2^{1401102259200} is an apocalyptic number.

1401102259200 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 1401102259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866636977360).

1401102259200 is an abundant number, since it is smaller than the sum of its proper divisors (4332171695520).

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

1401102259200 is a wasteful number, since it uses less digits than its factorization.

1401102259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868782 (or 868756 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1401102259200 in words is "one trillion, four hundred one billion, one hundred two million, two hundred fifty-nine thousand, two hundred".