10117235040 has 384 divisors, whose sum is σ = 36160266240. Its totient is φ = 2356377600.

The previous prime is 10117235039. The next prime is 10117235057. The reversal of 10117235040 is 4053271101.

It is a super-3 number, since 3×10117235040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10117235040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14641095 + ... + 14641785.

It is an arithmetic number, because the mean of its divisors is an integer number (94167360).

Almost surely, 2^10117235040 is an apocalyptic number.

10117235040 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 10117235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080133120).

10117235040 is an abundant number, since it is smaller than the sum of its proper divisors (26043031200).

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

10117235040 is a wasteful number, since it uses less digits than its factorization.

10117235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 10117235040 in words is "ten billion, one hundred seventeen million, two hundred thirty-five thousand, forty".