424017142416 has 1440 divisors, whose sum is σ = 1617581801472. Its totient is φ = 105076776960.

The previous prime is 424017142343. The next prime is 424017142427. The reversal of 424017142416 is 614241710424.

424017142416 is a `hidden beast` number, since 4 + 2 + 401 + 7 + 1 + 4 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9021641305 + ... + 9021641351.

Almost surely, 2^424017142416 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 424017142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808790900736).

424017142416 is an abundant number, since it is smaller than the sum of its proper divisors (1193564659056).

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

424017142416 is a wasteful number, since it uses less digits than its factorization.

424017142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

It can be divided in two parts, 42401 and 7142416, that added together give a palindrome (7184817).

The spelling of 424017142416 in words is "four hundred twenty-four billion, seventeen million, one hundred forty-two thousand, four hundred sixteen".