10340991360 has 1152 divisors, whose sum is σ = 45711993600. Its totient is φ = 2222567424.

The previous prime is 10340991347. The next prime is 10340991391. The reversal of 10340991360 is 6319904301.

10340991360 is a `hidden beast` number, since 103 + 409 + 91 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10340991360² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175271011 + ... + 175271069.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^10340991360 is an apocalyptic number.

10340991360 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 10340991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

10340991360 is an abundant number, since it is smaller than the sum of its proper divisors (35371002240).

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

10340991360 is an equidigital number, since it uses as much as digits as its factorization.

10340991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 10340991360 in words is "ten billion, three hundred forty million, nine hundred ninety-one thousand, three hundred sixty".