1022468832000 has 2880 divisors, whose sum is σ = 4889179975680. Its totient is φ = 206032896000.

The previous prime is 1022468831939. The next prime is 1022468832001. The reversal of 1022468832000 is 2388642201.

1022468832000 is a `hidden beast` number, since 10 + 2 + 246 + 88 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1022468832000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1022468832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9380447946 + ... + 9380448054.

It is an arithmetic number, because the mean of its divisors is an integer number (1697631936).

Almost surely, 2^{1022468832000} is an apocalyptic number.

1022468832000 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 1022468832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444589987840).

1022468832000 is an abundant number, since it is smaller than the sum of its proper divisors (3866711143680).

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

1022468832000 is a wasteful number, since it uses less digits than its factorization.

1022468832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1022468832000 in words is "one trillion, twenty-two billion, four hundred sixty-eight million, eight hundred thirty-two thousand".