416433142032 has 240 divisors, whose sum is σ = 1149524550720. Its totient is φ = 129856212992.

The previous prime is 416433142019. The next prime is 416433142087. The reversal of 416433142032 is 230241334614.

It is a junction number, because it is equal to n+sod(n) for n = 416433141984 and 416433142002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349063228 + ... + 349064420.

It is an arithmetic number, because the mean of its divisors is an integer number (4789685628).

Almost surely, 2^416433142032 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 416433142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574762275360).

416433142032 is an abundant number, since it is smaller than the sum of its proper divisors (733091408688).

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

416433142032 is a wasteful number, since it uses less digits than its factorization.

416433142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 416433142032 its reverse (230241334614), we get a palindrome (646674476646).

The spelling of 416433142032 in words is "four hundred sixteen billion, four hundred thirty-three million, one hundred forty-two thousand, thirty-two".