10417087840 has 24 divisors (see below), whose sum is σ = 24610370400. Its totient is φ = 4166835072.

The previous prime is 10417087823. The next prime is 10417087843. The reversal of 10417087840 is 4878071401.

It is a super-3 number, since 3×10417087840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10417087793 and 10417087802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10417087843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32553240 + ... + 32553559.

It is an arithmetic number, because the mean of its divisors is an integer number (1025432100).

Almost surely, 2^10417087840 is an apocalyptic number.

10417087840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10417087840 is an abundant number, since it is smaller than the sum of its proper divisors (14193282560).

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

10417087840 is an equidigital number, since it uses as much as digits as its factorization.

10417087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65106814 (or 65106806 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The spelling of 10417087840 in words is "ten billion, four hundred seventeen million, eighty-seven thousand, eight hundred forty".