420112440000 has 560 divisors, whose sum is σ = 1683671552640. Its totient is φ = 101842560000.

The previous prime is 420112439947. The next prime is 420112440019. The reversal of 420112440000 is 44211024.

420112440000 is a `hidden beast` number, since 420 + 1 + 1 + 244 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11862319 + ... + 11897681.

It is an arithmetic number, because the mean of its divisors is an integer number (3006556344).

Almost surely, 2^420112440000 is an apocalyptic number.

420112440000 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 420112440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841835776320).

420112440000 is an abundant number, since it is smaller than the sum of its proper divisors (1263559112640).

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

420112440000 is a wasteful number, since it uses less digits than its factorization.

420112440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35415 (or 35384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 420112440000 its reverse (44211024), we get a palindrome (420156651024).

The spelling of 420112440000 in words is "four hundred twenty billion, one hundred twelve million, four hundred forty thousand".