414225223632 has 120 divisors (see below), whose sum is σ = 1264907255040. Its totient is φ = 125496483840.

The previous prime is 414225223631. The next prime is 414225223637. The reversal of 414225223632 is 236322522414.

414225223632 is a `hidden beast` number, since 4 + 1 + 42 + 252 + 2 + 363 + 2 = 666.

It is a super-2 number, since 2×414225223632² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414225223631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8337168 + ... + 8386704.

It is an arithmetic number, because the mean of its divisors is an integer number (10540893792).

Almost surely, 2^414225223632 is an apocalyptic number.

It is an amenable number.

414225223632 is an abundant number, since it is smaller than the sum of its proper divisors (850682031408).

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

414225223632 is a wasteful number, since it uses less digits than its factorization.

414225223632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54841 (or 54832 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 414225223632 in words is "four hundred fourteen billion, two hundred twenty-five million, two hundred twenty-three thousand, six hundred thirty-two".