1023392638944 has 960 divisors, whose sum is σ = 3521416187520. Its totient is φ = 289043251200.

The previous prime is 1023392638913. The next prime is 1023392638973. The reversal of 1023392638944 is 4498362933201.

1023392638944 is a `hidden beast` number, since 1 + 0 + 2 + 339 + 263 + 8 + 9 + 44 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2552101144 + ... + 2552101544.

It is an arithmetic number, because the mean of its divisors is an integer number (3668141862).

Almost surely, 2^{1023392638944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023392638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760708093760).

1023392638944 is an abundant number, since it is smaller than the sum of its proper divisors (2498023548576).

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

1023392638944 is a wasteful number, since it uses less digits than its factorization.

1023392638944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1023392638944 in words is "one trillion, twenty-three billion, three hundred ninety-two million, six hundred thirty-eight thousand, nine hundred forty-four".