10012414401 has 256 divisors, whose sum is σ = 19284480000. Its totient is φ = 5051289600.

The previous prime is 10012414351. The next prime is 10012414409. The reversal of 10012414401 is 10441421001.

10012414401 is a `hidden beast` number, since 100 + 124 + 1 + 440 + 1 = 666.

It is not a de Polignac number, because 10012414401 - 2¹¹ = 10012412353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012414409) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 164137911 + ... + 164137971.

It is an arithmetic number, because the mean of its divisors is an integer number (75330000).

Almost surely, 2^10012414401 is an apocalyptic number.

10012414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012414401 is a deficient number, since it is larger than the sum of its proper divisors (9272065599).

10012414401 is a wasteful number, since it uses less digits than its factorization.

10012414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10012414401 its reverse (10441421001), we get a palindrome (20453835402).

The spelling of 10012414401 in words is "ten billion, twelve million, four hundred fourteen thousand, four hundred one".