1295418240 has 192 divisors, whose sum is σ = 4496731200. Its totient is φ = 343633920.

The previous prime is 1295418199. The next prime is 1295418251. The reversal of 1295418240 is 428145921.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1295418195 and 1295418204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376170 + ... + 1377110.

It is an arithmetic number, because the mean of its divisors is an integer number (23420475).

Almost surely, 2^1295418240 is an apocalyptic number.

1295418240 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 1295418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248365600).

1295418240 is an abundant number, since it is smaller than the sum of its proper divisors (3201312960).

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

1295418240 is a wasteful number, since it uses less digits than its factorization.

1295418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1295418240 is about 35991.9190930409. The cubic root of 1295418240 is about 1090.1091942343.

The spelling of 1295418240 in words is "one billion, two hundred ninety-five million, four hundred eighteen thousand, two hundred forty".