14045134220400 has 120 divisors (see below), whose sum is σ = 44992355455744. Its totient is φ = 3745276819200.

The previous prime is 14045134220347. The next prime is 14045134220417. The reversal of 14045134220400 is 402243154041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14045134220400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58496595 + ... + 58736205.

Almost surely, 2^{14045134220400} is an apocalyptic number.

14045134220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14045134220400 is an abundant number, since it is smaller than the sum of its proper divisors (30947221235344).

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

14045134220400 is a wasteful number, since it uses less digits than its factorization.

14045134220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288479 (or 288468 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14045134220400 its reverse (402243154041), we get a palindrome (14447377374441).

The spelling of 14045134220400 in words is "fourteen trillion, forty-five billion, one hundred thirty-four million, two hundred twenty thousand, four hundred".