10407468288 has 216 divisors, whose sum is σ = 32354737632. Its totient is φ = 2961272832.

The previous prime is 10407468277. The next prime is 10407468317. The reversal of 10407468288 is 88286470401.

It is a Cunningham number, because it is equal to 102017²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13057906 + ... + 13058702.

It is an arithmetic number, because the mean of its divisors is an integer number (149790452).

Almost surely, 2^10407468288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177368816).

10407468288 is an abundant number, since it is smaller than the sum of its proper divisors (21947269344).

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

10407468288 is an equidigital number, since it uses as much as digits as its factorization.

10407468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 10407468288 in words is "ten billion, four hundred seven million, four hundred sixty-eight thousand, two hundred eighty-eight".