10412015400 has 168 divisors, whose sum is σ = 36295808430. Its totient is φ = 2776498560.

The previous prime is 10412015387. The next prime is 10412015417. The reversal of 10412015400 is 451021401.

10412015400 is a `hidden beast` number, since 1 + 0 + 4 + 120 + 1 + 540 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7719028164 + 2692987236 = 87858^2 + 51894^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 110094 + ... + 181506.

Almost surely, 2^10412015400 is an apocalyptic number.

10412015400 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 10412015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147904215).

10412015400 is an abundant number, since it is smaller than the sum of its proper divisors (25883793030).

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

10412015400 is an equidigital number, since it uses as much as digits as its factorization.

10412015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71447 (or 71423 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10412015400 its reverse (451021401), we get a palindrome (10863036801).

The spelling of 10412015400 in words is "ten billion, four hundred twelve million, fifteen thousand, four hundred".