1022484556800 has 2112 divisors, whose sum is σ = 4701950484480. Its totient is φ = 212336640000.

The previous prime is 1022484556799. The next prime is 1022484556829. The reversal of 1022484556800 is 86554842201.

1022484556800 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 84 + 5 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2549836600 + ... + 2549837000.

Almost surely, 2^{1022484556800} is an apocalyptic number.

1022484556800 is a gapful number since it is divisible by the number (10) 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 1022484556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350975242240).

1022484556800 is an abundant number, since it is smaller than the sum of its proper divisors (3679465927680).

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

1022484556800 is a wasteful number, since it uses less digits than its factorization.

1022484556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1022484556800 in words is "one trillion, twenty-two billion, four hundred eighty-four million, five hundred fifty-six thousand, eight hundred".