14021413134400 has 168 divisors, whose sum is σ = 40174184848320. Its totient is φ = 4716636887040.

The previous prime is 14021413134277. The next prime is 14021413134409. The reversal of 14021413134400 is 443131412041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14021413134409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11216890 + ... + 12404089.

Almost surely, 2^{14021413134400} is an apocalyptic number.

14021413134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021413134400 is an abundant number, since it is smaller than the sum of its proper divisors (26152771713920).

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

14021413134400 is a wasteful number, since it uses less digits than its factorization.

14021413134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23621061 (or 23621046 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14021413134400 its reverse (443131412041), we get a palindrome (14464544546441).

The spelling of 14021413134400 in words is "fourteen trillion, twenty-one billion, four hundred thirteen million, one hundred thirty-four thousand, four hundred".