1294561440 has 480 divisors, whose sum is σ = 4926531456. Its totient is φ = 319334400.

The previous prime is 1294561423. The next prime is 1294561451. The reversal of 1294561440 is 441654921.

1294561440 is a `hidden beast` number, since 1 + 2 + 94 + 561 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 1294561395 and 1294561404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12817390 + ... + 12817490.

Almost surely, 2^1294561440 is an apocalyptic number.

1294561440 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 1294561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463265728).

1294561440 is an abundant number, since it is smaller than the sum of its proper divisors (3631970016).

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

1294561440 is a wasteful number, since it uses less digits than its factorization.

1294561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1294561440 is about 35980.0144524707. The cubic root of 1294561440 is about 1089.8688055773.

The spelling of 1294561440 in words is "one billion, two hundred ninety-four million, five hundred sixty-one thousand, four hundred forty".