21374838427392 has 288 divisors, whose sum is σ = 66176651923200. Its totient is φ = 6796370423808.

The previous prime is 21374838427343. The next prime is 21374838427429. The reversal of 21374838427392 is 29372483847312.

It is a happy number.

21374838427392 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 483 + 84 + 2 + 73 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21374838427392² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15994803 + ... + 17279565.

It is an arithmetic number, because the mean of its divisors is an integer number (229780041400).

Almost surely, 2^{21374838427392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21374838427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33088325961600).

21374838427392 is an abundant number, since it is smaller than the sum of its proper divisors (44801813495808).

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

21374838427392 is a wasteful number, since it uses less digits than its factorization.

21374838427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284900 (or 1284880 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 21374838427392 in words is "twenty-one trillion, three hundred seventy-four billion, eight hundred thirty-eight million, four hundred twenty-seven thousand, three hundred ninety-two".