10129242240 has 512 divisors, whose sum is σ = 39268857600. Its totient is φ = 2452488192.

The previous prime is 10129242223. The next prime is 10129242257. The reversal of 10129242240 is 4224292101.

It is an interprime number because it is at equal distance from previous prime (10129242223) and next prime (10129242257).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 15050544 + ... + 15051216.

Almost surely, 2^10129242240 is an apocalyptic number.

10129242240 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 10129242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634428800).

10129242240 is an abundant number, since it is smaller than the sum of its proper divisors (29139615360).

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

10129242240 is a wasteful number, since it uses less digits than its factorization.

10129242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10129242240 in words is "ten billion, one hundred twenty-nine million, two hundred forty-two thousand, two hundred forty".