1290061440 has 96 divisors (see below), whose sum is σ = 4454763300. Its totient is φ = 344014848.

The previous prime is 1290061429. The next prime is 1290061441. The reversal of 1290061440 is 441600921.

1290061440 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 0 + 614 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1266790464 + 23270976 = 35592^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1290061441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106225 + ... + 117744.

Almost surely, 2^1290061440 is an apocalyptic number.

1290061440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290061440 is an abundant number, since it is smaller than the sum of its proper divisors (3164701860).

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

1290061440 is a wasteful number, since it uses less digits than its factorization.

1290061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223994 (or 223979 counting only the distinct ones).

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

The square root of 1290061440 is about 35917.4252974792. The cubic root of 1290061440 is about 1088.6045155557.

The spelling of 1290061440 in words is "one billion, two hundred ninety million, sixty-one thousand, four hundred forty".