10414057472 has 384 divisors, whose sum is σ = 28729209600. Its totient is φ = 3652190208.

The previous prime is 10414057439. The next prime is 10414057483. The reversal of 10414057472 is 27475041401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60196778 + ... + 60196950.

It is an arithmetic number, because the mean of its divisors is an integer number (74815650).

Almost surely, 2^10414057472 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 10414057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364604800).

10414057472 is an abundant number, since it is smaller than the sum of its proper divisors (18315152128).

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

10414057472 is a wasteful number, since it uses less digits than its factorization.

10414057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

Adding to 10414057472 its reverse (27475041401), we get a palindrome (37889098873).

The spelling of 10414057472 in words is "ten billion, four hundred fourteen million, fifty-seven thousand, four hundred seventy-two".