414150949728 has 288 divisors, whose sum is σ = 1281322748160. Its totient is φ = 131407557120.

The previous prime is 414150949727. The next prime is 414150949801. The reversal of 414150949728 is 827949051414.

414150949728 is a `hidden beast` number, since 4 + 1 + 41 + 509 + 4 + 97 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414150949727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15997851 + ... + 16023717.

It is an arithmetic number, because the mean of its divisors is an integer number (4449037320).

Almost surely, 2^414150949728 is an apocalyptic number.

414150949728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414150949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640661374080).

414150949728 is an abundant number, since it is smaller than the sum of its proper divisors (867171798432).

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

414150949728 is a wasteful number, since it uses less digits than its factorization.

414150949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25992 (or 25972 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 414150949728 in words is "four hundred fourteen billion, one hundred fifty million, nine hundred forty-nine thousand, seven hundred twenty-eight".