420000001032192 has 288 divisors, whose sum is σ = 1280390297760000. Its totient is φ = 119962953842688.

The previous prime is 420000001032191. The next prime is 420000001032217. The reversal of 420000001032192 is 291230100000024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420000001032191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631017684 + ... + 9631061292.

It is an arithmetic number, because the mean of its divisors is an integer number (4445799645000).

Almost surely, 2^{420000001032192} is an apocalyptic number.

420000001032192 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 420000001032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640195148880000).

420000001032192 is an abundant number, since it is smaller than the sum of its proper divisors (860390296727808).

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

420000001032192 is an frugal number, since it uses more digits than its factorization.

420000001032192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47152 (or 47120 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 420000001032192 in words is "four hundred twenty trillion, one million, thirty-two thousand, one hundred ninety-two".