414012351632220 has 144 divisors (see below), whose sum is σ = 1375335267572448. Its totient is φ = 99976098938880.

The previous prime is 414012351632141. The next prime is 414012351632239. The reversal of 414012351632220 is 22236153210414.

It is a happy number.

414012351632220 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 12 + 3 + 5 + 1 + 632 + 2 + 2 + 0 = 666.

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

It is a congruent number.

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, 406294929 + ... + 407312648.

It is an arithmetic number, because the mean of its divisors is an integer number (9550939358142).

Almost surely, 2^{414012351632220} is an apocalyptic number.

It is an amenable number.

414012351632220 is an abundant number, since it is smaller than the sum of its proper divisors (961322915940228).

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

414012351632220 is a wasteful number, since it uses less digits than its factorization.

414012351632220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813607860 (or 813607855 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 414012351632220 in words is "four hundred fourteen trillion, twelve billion, three hundred fifty-one million, six hundred thirty-two thousand, two hundred twenty".