414545510020 has 12 divisors (see below), whose sum is σ = 870545571084. Its totient is φ = 165818204000.

The previous prime is 414545510009. The next prime is 414545510023. The reversal of 414545510020 is 20015545414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93117743104 + 321427766916 = 305152^2 + 566946^2 .

It is not an unprimeable number, because it can be changed into a prime (414545510023) 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 3 ways as a sum of consecutive naturals, for example, 10363637731 + ... + 10363637770.

It is an arithmetic number, because the mean of its divisors is an integer number (72545464257).

Almost surely, 2^414545510020 is an apocalyptic number.

It is an amenable number.

414545510020 is an abundant number, since it is smaller than the sum of its proper divisors (456000061064).

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

414545510020 is a wasteful number, since it uses less digits than its factorization.

414545510020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20727275510 (or 20727275508 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 414545510020 in words is "four hundred fourteen billion, five hundred forty-five million, five hundred ten thousand, twenty".