10217614040 has 192 divisors, whose sum is σ = 25997306400. Its totient is φ = 3600838656.

The previous prime is 10217614039. The next prime is 10217614061. The reversal of 10217614040 is 4041671201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26266166 + ... + 26266554.

Almost surely, 2^10217614040 is an apocalyptic number.

10217614040 is a gapful number since it is divisible by the number (10) 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 10217614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12998653200).

10217614040 is an abundant number, since it is smaller than the sum of its proper divisors (15779692360).

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

10217614040 is a wasteful number, since it uses less digits than its factorization.

10217614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 10217614040 in words is "ten billion, two hundred seventeen million, six hundred fourteen thousand, forty".