414025545312 has 384 divisors, whose sum is σ = 1284602941440. Its totient is φ = 129517056000.

The previous prime is 414025545301. The next prime is 414025545319. The reversal of 414025545312 is 213545520414.

414025545312 is a `hidden beast` number, since 4 + 1 + 40 + 2 + 554 + 53 + 12 = 666.

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 (414025545319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198763023 + ... + 198765105.

It is an arithmetic number, because the mean of its divisors is an integer number (3345320160).

Almost surely, 2^414025545312 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 414025545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642301470720).

414025545312 is an abundant number, since it is smaller than the sum of its proper divisors (870577396128).

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

414025545312 is a wasteful number, since it uses less digits than its factorization.

414025545312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 414025545312 in words is "four hundred fourteen billion, twenty-five million, five hundred forty-five thousand, three hundred twelve".