1023342581376 has 512 divisors, whose sum is σ = 3224162880000. Its totient is φ = 318823464960.

The previous prime is 1023342581333. The next prime is 1023342581383. The reversal of 1023342581376 is 6731852433201.

1023342581376 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 34 + 2 + 581 + 37 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1891575666 + ... + 1891576206.

It is an arithmetic number, because the mean of its divisors is an integer number (6297193125).

Almost surely, 2^{1023342581376} is an apocalyptic number.

1023342581376 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 1023342581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612081440000).

1023342581376 is an abundant number, since it is smaller than the sum of its proper divisors (2200820298624).

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

1023342581376 is a wasteful number, since it uses less digits than its factorization.

1023342581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1023342581376 in words is "one trillion, twenty-three billion, three hundred forty-two million, five hundred eighty-one thousand, three hundred seventy-six".