4491696291840 has 1080 divisors, whose sum is σ = 16553808972792. Its totient is φ = 1169550213120.

The previous prime is 4491696291833. The next prime is 4491696291961. The reversal of 4491696291840 is 481926961944.

4491696291840 is a `hidden beast` number, since 4 + 491 + 6 + 9 + 62 + 9 + 1 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18166726656 + 4473529565184 = 134784^2 + 2115072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32786104252 + ... + 32786104388.

Almost surely, 2^{4491696291840} is an apocalyptic number.

4491696291840 is a gapful number since it is divisible by the number (40) 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 4491696291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276904486396).

4491696291840 is an abundant number, since it is smaller than the sum of its proper divisors (12062112680952).

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

4491696291840 is an frugal number, since it uses more digits than its factorization.

4491696291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 4491696291840 in words is "four trillion, four hundred ninety-one billion, six hundred ninety-six million, two hundred ninety-one thousand, eight hundred forty".