21374406144 has 480 divisors, whose sum is σ = 78358199040. Its totient is φ = 5632892928.

The previous prime is 21374406127. The next prime is 21374406149. The reversal of 21374406144 is 44160447312.

21374406144 is a `hidden beast` number, since 2 + 1 + 37 + 4 + 4 + 0 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21374406099 and 21374406108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21374406149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16353139 + ... + 16354445.

It is an arithmetic number, because the mean of its divisors is an integer number (163246248).

Almost surely, 2^21374406144 is an apocalyptic number.

21374406144 is a gapful number since it is divisible by the number (24) 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 21374406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39179099520).

21374406144 is an abundant number, since it is smaller than the sum of its proper divisors (56983792896).

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

21374406144 is a wasteful number, since it uses less digits than its factorization.

21374406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 21374406144 in words is "twenty-one billion, three hundred seventy-four million, four hundred six thousand, one hundred forty-four".