1039744992 has 384 divisors, whose sum is σ = 3474938880. Its totient is φ = 267632640.

The previous prime is 1039744967. The next prime is 1039745011. The reversal of 1039744992 is 2994479301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11682484 + ... + 11682572.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^1039744992 is an apocalyptic number.

1039744992 is a gapful number since it is divisible by the number (12) 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 1039744992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

1039744992 is an abundant number, since it is smaller than the sum of its proper divisors (2435193888).

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

1039744992 is a wasteful number, since it uses less digits than its factorization.

1039744992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1039744992 is about 32245.0770196010. The cubic root of 1039744992 is about 1013.0765881557.

It can be divided in two parts, 1039 and 744992, that added together give a triangular number (746031 = T₁₂₂₁).

The spelling of 1039744992 in words is "one billion, thirty-nine million, seven hundred forty-four thousand, nine hundred ninety-two".