10414178424 has 160 divisors (see below), whose sum is σ = 31533606720. Its totient is φ = 3192079104.

The previous prime is 10414178387. The next prime is 10414178431. The reversal of 10414178424 is 42487141401.

10414178424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10414178424² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2331217 + ... + 2335679.

It is an arithmetic number, because the mean of its divisors is an integer number (197085042).

Almost surely, 2^10414178424 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 10414178424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766803360).

10414178424 is an abundant number, since it is smaller than the sum of its proper divisors (21119428296).

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

10414178424 is a wasteful number, since it uses less digits than its factorization.

10414178424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10414178424 in words is "ten billion, four hundred fourteen million, one hundred seventy-eight thousand, four hundred twenty-four".