420043133252000 has 576 divisors, whose sum is σ = 1128939321968640. Its totient is φ = 153395624448000.

The previous prime is 420043133251993. The next prime is 420043133252107. The reversal of 420043133252000 is 252331340024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4788464141 + ... + 4788551859.

It is an arithmetic number, because the mean of its divisors is an integer number (1959964100640).

Almost surely, 2^{420043133252000} is an apocalyptic number.

420043133252000 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 420043133252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564469660984320).

420043133252000 is an abundant number, since it is smaller than the sum of its proper divisors (708896188716640).

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

420043133252000 is a wasteful number, since it uses less digits than its factorization.

420043133252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87894 (or 87853 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 420043133252000 its reverse (252331340024), we get a palindrome (420295464592024).

The spelling of 420043133252000 in words is "four hundred twenty trillion, forty-three billion, one hundred thirty-three million, two hundred fifty-two thousand".