10412040000 has 140 divisors (see below), whose sum is σ = 34425030464. Its totient is φ = 2776512000.

The previous prime is 10412039977. The next prime is 10412040007. The reversal of 10412040000 is 4021401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76617 + ... + 163383.

Almost surely, 2^10412040000 is an apocalyptic number.

10412040000 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 10412040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212515232).

10412040000 is an abundant number, since it is smaller than the sum of its proper divisors (24012990464).

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

10412040000 is an frugal number, since it uses more digits than its factorization.

10412040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86802 (or 86777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10412040000 its reverse (4021401), we get a palindrome (10416061401).

The spelling of 10412040000 in words is "ten billion, four hundred twelve million, forty thousand".