414223597632 has 224 divisors, whose sum is σ = 1197501604992. Its totient is φ = 125605380096.

The previous prime is 414223597607. The next prime is 414223597649. The reversal of 414223597632 is 236795322414.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52609248 + ... + 52617120.

It is an arithmetic number, because the mean of its divisors is an integer number (5345989308).

Almost surely, 2^414223597632 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 414223597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598750802496).

414223597632 is an abundant number, since it is smaller than the sum of its proper divisors (783278007360).

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

414223597632 is a wasteful number, since it uses less digits than its factorization.

414223597632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8195 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 414223597632 in words is "four hundred fourteen billion, two hundred twenty-three million, five hundred ninety-seven thousand, six hundred thirty-two".