414364541120 has 28 divisors (see below), whose sum is σ = 986705564304. Its totient is φ = 165745816320.

The previous prime is 414364541093. The next prime is 414364541167. The reversal of 414364541120 is 21145463414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647444276 + ... + 647444915.

Almost surely, 2^414364541120 is an apocalyptic number.

414364541120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414364541120 is an abundant number, since it is smaller than the sum of its proper divisors (572341023184).

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

414364541120 is a wasteful number, since it uses less digits than its factorization.

414364541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294889208 (or 1294889198 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 414364541120 in words is "four hundred fourteen billion, three hundred sixty-four million, five hundred forty-one thousand, one hundred twenty".