291296457600640 has 128 divisors (see below), whose sum is σ = 697979036664000. Its totient is φ = 116251366023168.

The previous prime is 291296457600601. The next prime is 291296457600683. The reversal of 291296457600640 is 46006754692192.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638052132 + ... + 638508508.

Almost surely, 2^{291296457600640} is an apocalyptic number.

291296457600640 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 291296457600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348989518332000).

291296457600640 is an abundant number, since it is smaller than the sum of its proper divisors (406682579063360).

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

291296457600640 is a wasteful number, since it uses less digits than its factorization.

291296457600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458682 (or 458670 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 291296457600640 in words is "two hundred ninety-one trillion, two hundred ninety-six billion, four hundred fifty-seven million, six hundred thousand, six hundred forty".