21439314624 has 224 divisors, whose sum is σ = 70439523840. Its totient is φ = 5603770368.

The previous prime is 21439314623. The next prime is 21439314629. The reversal of 21439314624 is 42641393412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×21439314624² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21439314623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968907 + ... + 1979765.

It is an arithmetic number, because the mean of its divisors is an integer number (314462160).

Almost surely, 2^21439314624 is an apocalyptic number.

21439314624 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 21439314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35219761920).

21439314624 is an abundant number, since it is smaller than the sum of its proper divisors (49000209216).

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

21439314624 is a wasteful number, since it uses less digits than its factorization.

21439314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 10997 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 21439314624 in words is "twenty-one billion, four hundred thirty-nine million, three hundred fourteen thousand, six hundred twenty-four".