10090967040 has 1040 divisors, whose sum is σ = 45670394880. Its totient is φ = 2070282240.

The previous prime is 10090967017. The next prime is 10090967053. The reversal of 10090967040 is 4076909001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10090966986 and 10090967004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127733721 + ... + 127733799.

Almost surely, 2^10090967040 is an apocalyptic number.

10090967040 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 10090967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835197440).

10090967040 is an abundant number, since it is smaller than the sum of its proper divisors (35579427840).

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

10090967040 is an equidigital number, since it uses as much as digits as its factorization.

10090967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10090967040 in words is "ten billion, ninety million, nine hundred sixty-seven thousand, forty".