414541303680000 has 880 divisors, whose sum is σ = 1581716197797120. Its totient is φ = 94524874752000.

The previous prime is 414541303679999. The next prime is 414541303680011. The reversal of 414541303680000 is 86303145414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5631323194 + ... + 5631396806.

It is an arithmetic number, because the mean of its divisors is an integer number (1797404770224).

Almost surely, 2^{414541303680000} is an apocalyptic number.

414541303680000 is a gapful number since it is divisible by the number (40) 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 414541303680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790858098898560).

414541303680000 is an abundant number, since it is smaller than the sum of its proper divisors (1167174894117120).

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

414541303680000 is an equidigital number, since it uses as much as digits as its factorization.

414541303680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74082 (or 74049 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 414541303680000 in words is "four hundred fourteen trillion, five hundred forty-one billion, three hundred three million, six hundred eighty thousand".