1022460724224 has 165 divisors, whose sum is σ = 3054137495871. Its totient is φ = 340723169280.

The previous prime is 1022460724169. The next prime is 1022460724249. The reversal of 1022460724224 is 4224270642201.

The square root of 1022460724224 is 1011168.

It is a perfect power (a square), and thus also a powerful number.

1022460724224 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 607 + 2 + 42 + 2 + 4 = 666.

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 14 ways as a sum of consecutive naturals, for example, 291214629 + ... + 291218139.

Almost surely, 2^{1022460724224} is an apocalyptic number.

1022460724224 is the 1011168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022460724224

1022460724224 is an abundant number, since it is smaller than the sum of its proper divisors (2031676771647).

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

1022460724224 is an frugal number, since it uses more digits than its factorization.

1022460724224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Multiplying 1022460724224 by its sum of digits (36), we get a square (36808586072064 = 6067008²).

1022460724224 divided by its sum of digits (36) gives a square (28401686784 = 168528²).

The spelling of 1022460724224 in words is "one trillion, twenty-two billion, four hundred sixty million, seven hundred twenty-four thousand, two hundred twenty-four".