427219104400 has 135 divisors (see below), whose sum is σ = 1128564888969. Its totient is φ = 155300112000.

The previous prime is 427219104379. The next prime is 427219104421. The reversal of 427219104400 is 4401912724.

It is a happy number.

The square root of 427219104400 is 653620.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (427219104379) and next prime (427219104421).

It can be written as a sum of positive squares in only one way, i.e., 153798877584 + 273420226816 = 392172^2 + 522896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143794915 + ... + 143797885.

Almost surely, 2^427219104400 is an apocalyptic number.

427219104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

427219104400 is the 653620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427219104400

427219104400 is an abundant number, since it is smaller than the sum of its proper divisors (701345784569).

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

427219104400 is an equidigital number, since it uses as much as digits as its factorization.

427219104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 427219104400 in words is "four hundred twenty-seven billion, two hundred nineteen million, one hundred four thousand, four hundred".