420222865740480 has 560 divisors, whose sum is σ = 1631305349625600. Its totient is φ = 101834278963200.

The previous prime is 420222865740371. The next prime is 420222865740487. The reversal of 420222865740480 is 84047568222024.

It is a happy number.

420222865740480 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 28 + 6 + 574 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×420222865740480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (420222865740487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 769265845 + ... + 769811915.

Almost surely, 2^{420222865740480} is an apocalyptic number.

420222865740480 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 420222865740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815652674812800).

420222865740480 is an abundant number, since it is smaller than the sum of its proper divisors (1211082483885120).

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

420222865740480 is a wasteful number, since it uses less digits than its factorization.

420222865740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548810 (or 548791 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 420222865740480 in words is "four hundred twenty trillion, two hundred twenty-two billion, eight hundred sixty-five million, seven hundred forty thousand, four hundred eighty".