420189671088 has 240 divisors, whose sum is σ = 1334947236480. Its totient is φ = 122259916800.

The previous prime is 420189671047. The next prime is 420189671129. The reversal of 420189671088 is 880176981024.

420189671088 is a `hidden beast` number, since 420 + 1 + 89 + 67 + 1 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (420189671047) and next prime (420189671129).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3966328 + ... + 4070888.

It is an arithmetic number, because the mean of its divisors is an integer number (5562280152).

Almost surely, 2^420189671088 is an apocalyptic number.

420189671088 is a gapful number since it is divisible by the number (48) 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 420189671088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667473618240).

420189671088 is an abundant number, since it is smaller than the sum of its proper divisors (914757565392).

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

420189671088 is a wasteful number, since it uses less digits than its factorization.

420189671088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104688 (or 104679 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 420189671088 in words is "four hundred twenty billion, one hundred eighty-nine million, six hundred seventy-one thousand, eighty-eight".