414200022500000 has 768 divisors, whose sum is σ = 1127760112926720. Its totient is φ = 148498560000000.

The previous prime is 414200022499999. The next prime is 414200022500029. The reversal of 414200022500000 is 5220002414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 813752499746 + ... + 813752500254.

It is an arithmetic number, because the mean of its divisors is an integer number (1468437647040).

Almost surely, 2^{414200022500000} is an apocalyptic number.

414200022500000 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 414200022500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563880056463360).

414200022500000 is an abundant number, since it is smaller than the sum of its proper divisors (713560090426720).

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

414200022500000 is an equidigital number, since it uses as much as digits as its factorization.

414200022500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 414200022500000 its reverse (5220002414), we get a palindrome (414205242502414).

The spelling of 414200022500000 in words is "four hundred fourteen trillion, two hundred billion, twenty-two million, five hundred thousand".