412331032003440 has 160 divisors (see below), whose sum is σ = 1394783522784000. Its totient is φ = 99933594204160.

The previous prime is 412331032003433. The next prime is 412331032003447. The reversal of 412331032003440 is 44300230133214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412331032003433) and next prime (412331032003447).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412331032003398 and 412331032003407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412331032003447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9503490 + ... + 30248609.

It is an arithmetic number, because the mean of its divisors is an integer number (8717397017400).

Almost surely, 2^{412331032003440} is an apocalyptic number.

412331032003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412331032003440 is an abundant number, since it is smaller than the sum of its proper divisors (982452490780560).

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

412331032003440 is a wasteful number, since it uses less digits than its factorization.

412331032003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39756055 (or 39756049 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 412331032003440 its reverse (44300230133214), we get a palindrome (456631262136654).

The spelling of 412331032003440 in words is "four hundred twelve trillion, three hundred thirty-one billion, thirty-two million, three thousand, four hundred forty".