412132124040 has 512 divisors, whose sum is σ = 1616943928320. Its totient is φ = 81550245888.

The previous prime is 412132123937. The next prime is 412132124081. The reversal of 412132124040 is 40421231214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412132124040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54388732 + ... + 54396308.

It is an arithmetic number, because the mean of its divisors is an integer number (3158093610).

Almost surely, 2^412132124040 is an apocalyptic number.

412132124040 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 412132124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808471964160).

412132124040 is an abundant number, since it is smaller than the sum of its proper divisors (1204811804280).

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

412132124040 is a wasteful number, since it uses less digits than its factorization.

412132124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412132124040 its reverse (40421231214), we get a palindrome (452553355254).

The spelling of 412132124040 in words is "four hundred twelve billion, one hundred thirty-two million, one hundred twenty-four thousand, forty".