21403324293120 has 3584 divisors, whose sum is σ = 100284720537600. Its totient is φ = 4253952245760.

The previous prime is 21403324293083. The next prime is 21403324293157. The reversal of 21403324293120 is 2139242330412.

21403324293120 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 332 + 4 + 2 + 9 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21403324293083) and next prime (21403324293157).

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 200031068107 + ... + 200031068213.

Almost surely, 2^{21403324293120} is an apocalyptic number.

21403324293120 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 21403324293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142360268800).

21403324293120 is an abundant number, since it is smaller than the sum of its proper divisors (78881396244480).

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

21403324293120 is an equidigital number, since it uses as much as digits as its factorization.

21403324293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 21403324293120 in words is "twenty-one trillion, four hundred three billion, three hundred twenty-four million, two hundred ninety-three thousand, one hundred twenty".