295638138240 has 1024 divisors, whose sum is σ = 1079321241600. Its totient is φ = 68464148480.

The previous prime is 295638138239. The next prime is 295638138281. The reversal of 295638138240 is 42831836592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3561905239 + ... + 3561905321.

It is an arithmetic number, because the mean of its divisors is an integer number (1054024650).

Almost surely, 2^295638138240 is an apocalyptic number.

295638138240 is a gapful number since it is divisible by the number (20) 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 295638138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539660620800).

295638138240 is an abundant number, since it is smaller than the sum of its proper divisors (783683103360).

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

295638138240 is a wasteful number, since it uses less digits than its factorization.

295638138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 295638138240 in words is "two hundred ninety-five billion, six hundred thirty-eight million, one hundred thirty-eight thousand, two hundred forty".