420212423134240 has 192 divisors, whose sum is σ = 1106076024023040. Its totient is φ = 149549110512640.

The previous prime is 420212423134201. The next prime is 420212423134261. The reversal of 420212423134240 is 42431324212024.

It is a junction number, because it is equal to n+sod(n) for n = 420212423134196 and 420212423134205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049435351 + ... + 5049518569.

It is an arithmetic number, because the mean of its divisors is an integer number (5760812625120).

Almost surely, 2^{420212423134240} is an apocalyptic number.

420212423134240 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 420212423134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553038012011520).

420212423134240 is an abundant number, since it is smaller than the sum of its proper divisors (685863600888800).

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

420212423134240 is a wasteful number, since it uses less digits than its factorization.

420212423134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144335 (or 144327 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 420212423134240 its reverse (42431324212024), we get a palindrome (462643747346264).

The spelling of 420212423134240 in words is "four hundred twenty trillion, two hundred twelve billion, four hundred twenty-three million, one hundred thirty-four thousand, two hundred forty".