10402650240 has 64 divisors (see below), whose sum is σ = 33158453760. Its totient is φ = 2774039552.

The previous prime is 10402650229. The next prime is 10402650241. The reversal of 10402650240 is 4205620401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10402650240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10402650240.

It is not an unprimeable number, because it can be changed into a prime (10402650241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2707104 + ... + 2710943.

It is an arithmetic number, because the mean of its divisors is an integer number (518100840).

Almost surely, 2^10402650240 is an apocalyptic number.

10402650240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402650240 is an abundant number, since it is smaller than the sum of its proper divisors (22755803520).

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

10402650240 is an equidigital number, since it uses as much as digits as its factorization.

10402650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418069 (or 5418057 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 10402650240 in words is "ten billion, four hundred two million, six hundred fifty thousand, two hundred forty".