1009070039040 has 896 divisors, whose sum is σ = 3941633415168. Its totient is φ = 215167795200.

The previous prime is 1009070039011. The next prime is 1009070039069. The reversal of 1009070039040 is 409300709001.

It is an interprime number because it is at equal distance from previous prime (1009070039011) and next prime (1009070039069).

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 1009070038992 and 1009070039010.

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, 2208030492 + ... + 2208030948.

Almost surely, 2^{1009070039040} is an apocalyptic number.

1009070039040 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 1009070039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970816707584).

1009070039040 is an abundant number, since it is smaller than the sum of its proper divisors (2932563376128).

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

1009070039040 is a wasteful number, since it uses less digits than its factorization.

1009070039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 1009070039040 in words is "one trillion, nine billion, seventy million, thirty-nine thousand, forty".