10934717040 has 320 divisors, whose sum is σ = 42327290880. Its totient is φ = 2574443520.

The previous prime is 10934716993. The next prime is 10934717047. The reversal of 10934717040 is 4071743901.

10934717040 is a `hidden beast` number, since 109 + 347 + 170 + 40 = 666.

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 = 10934716986 and 10934717004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10934717047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637375 + ... + 654305.

It is an arithmetic number, because the mean of its divisors is an integer number (132272784).

Almost surely, 2^10934717040 is an apocalyptic number.

10934717040 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 10934717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163645440).

10934717040 is an abundant number, since it is smaller than the sum of its proper divisors (31392573840).

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

10934717040 is a wasteful number, since it uses less digits than its factorization.

10934717040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10934717040 in words is "ten billion, nine hundred thirty-four million, seven hundred seventeen thousand, forty".