801601249440 has 96 divisors (see below), whose sum is σ = 2525177471040. Its totient is φ = 213749028864.

The previous prime is 801601249391. The next prime is 801601249517. The reversal of 801601249440 is 44942106108.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13134516 + ... + 13195404.

It is an arithmetic number, because the mean of its divisors is an integer number (26303931990).

Almost surely, 2^801601249440 is an apocalyptic number.

801601249440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801601249440 is an abundant number, since it is smaller than the sum of its proper divisors (1723576221600).

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

801601249440 is a wasteful number, since it uses less digits than its factorization.

801601249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88334 (or 88326 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 801601249440 in words is "eight hundred one billion, six hundred one million, two hundred forty-nine thousand, four hundred forty".