1295125440 has 224 divisors, whose sum is σ = 4851830784. Its totient is φ = 286433280.

The previous prime is 1295125439. The next prime is 1295125441. The reversal of 1295125440 is 445215921.

It is an interprime number because it is at equal distance from previous prime (1295125439) and next prime (1295125441).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295125441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205212 + ... + 211428.

Almost surely, 2^1295125440 is an apocalyptic number.

1295125440 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 1295125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425915392).

1295125440 is an abundant number, since it is smaller than the sum of its proper divisors (3556705344).

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

1295125440 is a wasteful number, since it uses less digits than its factorization.

1295125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1295125440 is about 35987.8512834540. The cubic root of 1295125440 is about 1090.0270565346.

The spelling of 1295125440 in words is "one billion, two hundred ninety-five million, one hundred twenty-five thousand, four hundred forty".