422350129152 has 384 divisors, whose sum is σ = 1434101760000. Its totient is φ = 120311267328.

The previous prime is 422350129129. The next prime is 422350129169. The reversal of 422350129152 is 251921053224.

422350129152 is a `hidden beast` number, since 42 + 23 + 501 + 2 + 91 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×422350129152³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 146698849 + ... + 146701727.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640000).

Almost surely, 2^422350129152 is an apocalyptic number.

422350129152 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 422350129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880000).

422350129152 is an abundant number, since it is smaller than the sum of its proper divisors (1011751630848).

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

422350129152 is a wasteful number, since it uses less digits than its factorization.

422350129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 422350129152 in words is "four hundred twenty-two billion, three hundred fifty million, one hundred twenty-nine thousand, one hundred fifty-two".