412637742396 has 360 divisors, whose sum is σ = 1232045061632. Its totient is φ = 120208017600.

The previous prime is 412637742337. The next prime is 412637742397. The reversal of 412637742396 is 693247736214.

It is a happy number.

412637742396 is a `hidden beast` number, since 4 + 1 + 2 + 63 + 77 + 423 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412637742397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 198096771 + ... + 198098853.

Almost surely, 2^412637742396 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 412637742396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616022530816).

412637742396 is an abundant number, since it is smaller than the sum of its proper divisors (819407319236).

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

412637742396 is a wasteful number, since it uses less digits than its factorization.

412637742396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2293 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 412637742396 in words is "four hundred twelve billion, six hundred thirty-seven million, seven hundred forty-two thousand, three hundred ninety-six".