1321406020224 has 256 divisors, whose sum is σ = 3928640486400. Its totient is φ = 437240401920.

The previous prime is 1321406020219. The next prime is 1321406020241. The reversal of 1321406020224 is 4220206041231.

1321406020224 is a `hidden beast` number, since 1 + 32 + 1 + 4 + 0 + 602 + 0 + 2 + 24 = 666.

It is a super-2 number, since 2×1321406020224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 509997169 + ... + 509999759.

It is an arithmetic number, because the mean of its divisors is an integer number (15346251900).

Almost surely, 2^{1321406020224} 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 1321406020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964320243200).

1321406020224 is an abundant number, since it is smaller than the sum of its proper divisors (2607234466176).

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

1321406020224 is a wasteful number, since it uses less digits than its factorization.

1321406020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 1321406020224 in words is "one trillion, three hundred twenty-one billion, four hundred six million, twenty thousand, two hundred twenty-four".