420222582992352 has 768 divisors, whose sum is σ = 1369840763289600. Its totient is φ = 110151293091840.

The previous prime is 420222582992347. The next prime is 420222582992357. The reversal of 420222582992352 is 253299285222024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420222582992347) and next prime (420222582992357).

It is a super-4 number, since 4×420222582992352⁴ (a number of 60 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420222582992292 and 420222582992301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420222582992357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103579633908 + ... + 103579637964.

It is an arithmetic number, because the mean of its divisors is an integer number (1783646827200).

Almost surely, 2^{420222582992352} is an apocalyptic number.

420222582992352 is a gapful number since it is divisible by the number (42) 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 420222582992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684920381644800).

420222582992352 is an abundant number, since it is smaller than the sum of its proper divisors (949618180297248).

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

420222582992352 is a wasteful number, since it uses less digits than its factorization.

420222582992352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 420222582992352 in words is "four hundred twenty trillion, two hundred twenty-two billion, five hundred eighty-two million, nine hundred ninety-two thousand, three hundred fifty-two".