420106900320 has 144 divisors (see below), whose sum is σ = 1439067101472. Its totient is φ = 111602442240.

The previous prime is 420106900309. The next prime is 420106900327. The reversal of 420106900320 is 23009601024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×420106900320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420106900327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175921 + ... + 933360.

It is an arithmetic number, because the mean of its divisors is an integer number (9993521538).

Almost surely, 2^420106900320 is an apocalyptic number.

420106900320 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 420106900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719533550736).

420106900320 is an abundant number, since it is smaller than the sum of its proper divisors (1018960201152).

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

420106900320 is a wasteful number, since it uses less digits than its factorization.

420106900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109565 (or 1109554 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 420106900320 in words is "four hundred twenty billion, one hundred six million, nine hundred thousand, three hundred twenty".