412001122416 has 480 divisors, whose sum is σ = 1212898655232. Its totient is φ = 120363909120.

The previous prime is 412001122373. The next prime is 412001122441. The reversal of 412001122416 is 614221100214.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3145046671 + ... + 3145046801.

Almost surely, 2^412001122416 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 412001122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606449327616).

412001122416 is an abundant number, since it is smaller than the sum of its proper divisors (800897532816).

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

412001122416 is a wasteful number, since it uses less digits than its factorization.

412001122416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 412001122416 in words is "four hundred twelve billion, one million, one hundred twenty-two thousand, four hundred sixteen".