10964298240 has 1280 divisors, whose sum is σ = 49779671040. Its totient is φ = 2229534720.

The previous prime is 10964298229. The next prime is 10964298253. The reversal of 10964298240 is 4289246901.

10964298240 is a `hidden beast` number, since 109 + 6 + 429 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254983659 + ... + 254983701.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 2^10964298240 is an apocalyptic number.

10964298240 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 10964298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889835520).

10964298240 is an abundant number, since it is smaller than the sum of its proper divisors (38815372800).

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

10964298240 is a wasteful number, since it uses less digits than its factorization.

10964298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10964298240 in words is "ten billion, nine hundred sixty-four million, two hundred ninety-eight thousand, two hundred forty".