10742910840 has 288 divisors, whose sum is σ = 38432394000. Its totient is φ = 2595124224.

The previous prime is 10742910839. The next prime is 10742910847. The reversal of 10742910840 is 4801924701.

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 = 10742910795 and 10742910804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742910847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3616876 + ... + 3619844.

Almost surely, 2^10742910840 is an apocalyptic number.

10742910840 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 10742910840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19216197000).

10742910840 is an abundant number, since it is smaller than the sum of its proper divisors (27689483160).

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

10742910840 is a wasteful number, since it uses less digits than its factorization.

10742910840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10742910840 in words is "ten billion, seven hundred forty-two million, nine hundred ten thousand, eight hundred forty".