1039920076800 has 864 divisors, whose sum is σ = 4199310133200. Its totient is φ = 252061286400.

The previous prime is 1039920076781. The next prime is 1039920076813. The reversal of 1039920076800 is 86700299301.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1039920076800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167267292 + ... + 167273508.

Almost surely, 2^{1039920076800} is an apocalyptic number.

1039920076800 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 1039920076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099655066600).

1039920076800 is an abundant number, since it is smaller than the sum of its proper divisors (3159390056400).

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

1039920076800 is a wasteful number, since it uses less digits than its factorization.

1039920076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1039920076800 in words is "one trillion, thirty-nine billion, nine hundred twenty million, seventy-six thousand, eight hundred".