14022101012400 has 360 divisors, whose sum is σ = 53262795521936. Its totient is φ = 3395009894400.

The previous prime is 14022101012377. The next prime is 14022101012419. The reversal of 14022101012400 is 421010122041.

14022101012400 is a `hidden beast` number, since 1 + 40 + 2 + 210 + 1 + 0 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 398919 + ... + 5310681.

Almost surely, 2^{14022101012400} is an apocalyptic number.

14022101012400 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 14022101012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26631397760968).

14022101012400 is an abundant number, since it is smaller than the sum of its proper divisors (39240694509536).

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

14022101012400 is a wasteful number, since it uses less digits than its factorization.

14022101012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911861 (or 4911847 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14022101012400 its reverse (421010122041), we get a palindrome (14443111134441).

The spelling of 14022101012400 in words is "fourteen trillion, twenty-two billion, one hundred one million, twelve thousand, four hundred".