4118497290432 has 336 divisors, whose sum is σ = 14906046684672. Its totient is φ = 1059342704640.

The previous prime is 4118497290367. The next prime is 4118497290451. The reversal of 4118497290432 is 2340927948114.

4118497290432 is a `hidden beast` number, since 4 + 1 + 18 + 49 + 72 + 90 + 432 = 666.

4118497290432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270307 + ... + 2882717.

Almost surely, 2^{4118497290432} is an apocalyptic number.

4118497290432 is a gapful number since it is divisible by the number (42) 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 4118497290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453023342336).

4118497290432 is an abundant number, since it is smaller than the sum of its proper divisors (10787549394240).

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

4118497290432 is a wasteful number, since it uses less digits than its factorization.

4118497290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612476 (or 2612463 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4118497290432 in words is "four trillion, one hundred eighteen billion, four hundred ninety-seven million, two hundred ninety thousand, four hundred thirty-two".