340412132000000 has 504 divisors, whose sum is σ = 899447493174720. Its totient is φ = 128221056000000.

The previous prime is 340412131999993. The next prime is 340412132000009. The reversal of 340412132000000 is 231214043.

It is a super-2 number, since 2×340412132000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (340412132000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12691986590 + ... + 12692013410.

Almost surely, 2^{340412132000000} 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 340412132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449723746587360).

340412132000000 is an abundant number, since it is smaller than the sum of its proper divisors (559035361174720).

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

340412132000000 is an frugal number, since it uses more digits than its factorization.

340412132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27053 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 340412132000000 its reverse (231214043), we get a palindrome (340412363214043).

The spelling of 340412132000000 in words is "three hundred forty trillion, four hundred twelve billion, one hundred thirty-two million", and thus it is an aban number.