10414323072 has 96 divisors (see below), whose sum is σ = 30148307280. Its totient is φ = 3450590208.

The previous prime is 10414323061. The next prime is 10414323083. The reversal of 10414323072 is 27032341401.

It is a happy number.

10414323072 is a `hidden beast` number, since 10 + 414 + 3 + 230 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10414323061) and next prime (10414323083).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165318 + ... + 219450.

Almost surely, 2^10414323072 is an apocalyptic number.

10414323072 is a gapful number since it is divisible by the number (12) 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 10414323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074153640).

10414323072 is an abundant number, since it is smaller than the sum of its proper divisors (19733984208).

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

10414323072 is a wasteful number, since it uses less digits than its factorization.

10414323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54320 (or 54305 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10414323072 its reverse (27032341401), we get a palindrome (37446664473).

The spelling of 10414323072 in words is "ten billion, four hundred fourteen million, three hundred twenty-three thousand, seventy-two".