10418124960 has 384 divisors, whose sum is σ = 38947184640. Its totient is φ = 2591834112.

The previous prime is 10418124953. The next prime is 10418124967. The reversal of 10418124960 is 6942181401.

It is an interprime number because it is at equal distance from previous prime (10418124953) and next prime (10418124967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10418124967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9326322 + ... + 9327438.

It is an arithmetic number, because the mean of its divisors is an integer number (101424960).

Almost surely, 2^10418124960 is an apocalyptic number.

10418124960 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 10418124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473592320).

10418124960 is an abundant number, since it is smaller than the sum of its proper divisors (28529059680).

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

10418124960 is a wasteful number, since it uses less digits than its factorization.

10418124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10418124960 in words is "ten billion, four hundred eighteen million, one hundred twenty-four thousand, nine hundred sixty".