1290410640 has 60 divisors (see below), whose sum is σ = 4333631484. Its totient is φ = 344109312.

The previous prime is 1290410617. The next prime is 1290410659. The reversal of 1290410640 is 460140921.

1290410640 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 4 + 10 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 441504144 + 848906496 = 21012^2 + 29136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 895399 + ... + 896838.

Almost surely, 2^1290410640 is an apocalyptic number.

1290410640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290410640 is an abundant number, since it is smaller than the sum of its proper divisors (3043220844).

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

1290410640 is a wasteful number, since it uses less digits than its factorization.

1290410640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792256 (or 1792247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1290410640 is about 35922.2861187870. The cubic root of 1290410640 is about 1088.7027295867.

The spelling of 1290410640 in words is "one billion, two hundred ninety million, four hundred ten thousand, six hundred forty".