1022974430976 has 288 divisors, whose sum is σ = 3234199288320. Its totient is φ = 317813538816.

The previous prime is 1022974430969. The next prime is 1022974431019. The reversal of 1022974430976 is 6790344792201.

1022974430976 is a `hidden beast` number, since 1 + 0 + 2 + 297 + 44 + 309 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12060651 + ... + 12145173.

It is an arithmetic number, because the mean of its divisors is an integer number (11229858640).

Almost surely, 2^{1022974430976} is an apocalyptic number.

1022974430976 is a gapful number since it is divisible by the number (16) 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 1022974430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617099644160).

1022974430976 is an abundant number, since it is smaller than the sum of its proper divisors (2211224857344).

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

1022974430976 is a wasteful number, since it uses less digits than its factorization.

1022974430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84668 (or 84648 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1022974430976 in words is "one trillion, twenty-two billion, nine hundred seventy-four million, four hundred thirty thousand, nine hundred seventy-six".