420235490112000 has 480 divisors, whose sum is σ = 1443702715183872. Its totient is φ = 108447820800000.

The previous prime is 420235490111959. The next prime is 420235490112029. The reversal of 420235490112000 is 211094532024.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183373225 + ... + 185650775.

Almost surely, 2^{420235490112000} is an apocalyptic number.

420235490112000 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 420235490112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721851357591936).

420235490112000 is an abundant number, since it is smaller than the sum of its proper divisors (1023467225071872).

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

420235490112000 is an equidigital number, since it uses as much as digits as its factorization.

420235490112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277649 (or 2277592 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 420235490112000 in words is "four hundred twenty trillion, two hundred thirty-five billion, four hundred ninety million, one hundred twelve thousand".