21702344294400 has 2880 divisors, whose sum is σ = 94862195097600. Its totient is φ = 4335206400000.

The previous prime is 21702344294303. The next prime is 21702344294429. The reversal of 21702344294400 is 449244320712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143724134325 + ... + 143724134475.

Almost surely, 2^{21702344294400} is an apocalyptic number.

21702344294400 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 21702344294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47431097548800).

21702344294400 is an abundant number, since it is smaller than the sum of its proper divisors (73159850803200).

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

21702344294400 is a wasteful number, since it uses less digits than its factorization.

21702344294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 21702344294400 in words is "twenty-one trillion, seven hundred two billion, three hundred forty-four million, two hundred ninety-four thousand, four hundred".