10412391600 has 360 divisors, whose sum is σ = 40174289792. Its totient is φ = 2480025600.

The previous prime is 10412391599. The next prime is 10412391601. The reversal of 10412391600 is 619321401.

10412391600 is a `hidden beast` number, since 10 + 4 + 12 + 39 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (10412391599) and next prime (10412391601).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (10412391601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1447212 + ... + 1454388.

Almost surely, 2^10412391600 is an apocalyptic number.

10412391600 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 10412391600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20087144896).

10412391600 is an abundant number, since it is smaller than the sum of its proper divisors (29761898192).

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

10412391600 is a wasteful number, since it uses less digits than its factorization.

10412391600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10412391600 in words is "ten billion, four hundred twelve million, three hundred ninety-one thousand, six hundred".