1295900090640 has 120 divisors (see below), whose sum is σ = 4352332682880. Its totient is φ = 345552060672.

The previous prime is 1295900090627. The next prime is 1295900090647. The reversal of 1295900090640 is 460900095921.

1295900090640 is a `hidden beast` number, since 12 + 9 + 590 + 0 + 0 + 9 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1295900090647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14166489 + ... + 14257671.

It is an arithmetic number, because the mean of its divisors is an integer number (36269439024).

Almost surely, 2^{1295900090640} is an apocalyptic number.

1295900090640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1295900090640 is an abundant number, since it is smaller than the sum of its proper divisors (3056432592240).

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

1295900090640 is a wasteful number, since it uses less digits than its factorization.

1295900090640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110941 (or 110932 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1295900090640 in words is "one trillion, two hundred ninety-five billion, nine hundred million, ninety thousand, six hundred forty".