412034035012000 has 192 divisors, whose sum is σ = 1033952478773760. Its totient is φ = 161299902336000.

The previous prime is 412034035011971. The next prime is 412034035012051. The reversal of 412034035012000 is 210530430214.

It is a super-3 number, since 3×412034035012000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7156943215 + ... + 7157000785.

It is an arithmetic number, because the mean of its divisors is an integer number (5385169160280).

Almost surely, 2^{412034035012000} is an apocalyptic number.

412034035012000 is a gapful number since it is divisible by the number (40) 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 412034035012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516976239386880).

412034035012000 is an abundant number, since it is smaller than the sum of its proper divisors (621918443761760).

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

412034035012000 is a wasteful number, since it uses less digits than its factorization.

412034035012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95712 (or 95694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 412034035012000 its reverse (210530430214), we get a palindrome (412244565442214).

The spelling of 412034035012000 in words is "four hundred twelve trillion, thirty-four billion, thirty-five million, twelve thousand".