1295663040 has 560 divisors, whose sum is σ = 5437705152. Its totient is φ = 286654464.

The previous prime is 1295663023. The next prime is 1295663123. The reversal of 1295663040 is 403665921.

It is a happy number.

1295663040 is a `hidden beast` number, since 1 + 29 + 566 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 1295662986 and 1295663004.

It is a congruent number.

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, 6713184 + ... + 6713376.

Almost surely, 2^1295663040 is an apocalyptic number.

1295663040 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 1295663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718852576).

1295663040 is an abundant number, since it is smaller than the sum of its proper divisors (4142042112).

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

1295663040 is a wasteful number, since it uses less digits than its factorization.

1295663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1295663040 is about 35995.3196957604. The cubic root of 1295663040 is about 1090.1778572381.

The spelling of 1295663040 in words is "one billion, two hundred ninety-five million, six hundred sixty-three thousand, forty".