21514322401400 has 144 divisors (see below), whose sum is σ = 52769928888600. Its totient is φ = 8156043498240.

The previous prime is 21514322401379. The next prime is 21514322401547. The reversal of 21514322401400 is 410422341512.

It is a happy number.

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, 10599407 + ... + 12464993.

Almost surely, 2^{21514322401400} is an apocalyptic number.

21514322401400 is a gapful number since it is divisible by the number (20) 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 21514322401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26384964444300).

21514322401400 is an abundant number, since it is smaller than the sum of its proper divisors (31255606487200).

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

21514322401400 is a wasteful number, since it uses less digits than its factorization.

21514322401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865758 (or 1865726 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 21514322401400 its reverse (410422341512), we get a palindrome (21924744742912).

The spelling of 21514322401400 in words is "twenty-one trillion, five hundred fourteen billion, three hundred twenty-two million, four hundred one thousand, four hundred".