1294416240 has 160 divisors (see below), whose sum is σ = 4355721216. Its totient is φ = 316093440.

The previous prime is 1294416239. The next prime is 1294416269. The reversal of 1294416240 is 426144921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407137 + ... + 410303.

Almost surely, 2^1294416240 is an apocalyptic number.

1294416240 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 1294416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

1294416240 is an abundant number, since it is smaller than the sum of its proper divisors (3061304976).

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

1294416240 is a wasteful number, since it uses less digits than its factorization.

1294416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1294416240 is about 35977.9966090387. The cubic root of 1294416240 is about 1089.8280569339.

The spelling of 1294416240 in words is "one billion, two hundred ninety-four million, four hundred sixteen thousand, two hundred forty".