1023085995840 has 448 divisors, whose sum is σ = 3802889625600. Its totient is φ = 258211473408.

The previous prime is 1023085995761. The next prime is 1023085995851. The reversal of 1023085995840 is 485995803201.

1023085995840 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 8 + 59 + 9 + 584 + 0 = 666.

1023085995840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 213898089 + ... + 213902871.

Almost surely, 2^{1023085995840} is an apocalyptic number.

1023085995840 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 1023085995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901444812800).

1023085995840 is an abundant number, since it is smaller than the sum of its proper divisors (2779803629760).

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

1023085995840 is a wasteful number, since it uses less digits than its factorization.

1023085995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1023085995840 in words is "one trillion, twenty-three billion, eighty-five million, nine hundred ninety-five thousand, eight hundred forty".