423870020945280 has 3072 divisors, whose sum is σ = 1995099960672000. Its totient is φ = 84008868249600.

The previous prime is 423870020945183. The next prime is 423870020945291. The reversal of 423870020945280 is 82549020078324.

423870020945280 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 7 + 0 + 0 + 20 + 94 + 528 + 0 = 666.

It is a super-3 number, since 3×423870020945280³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112462195236 + ... + 112462199004.

Almost surely, 2^{423870020945280} is an apocalyptic number.

423870020945280 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 423870020945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997549980336000).

423870020945280 is an abundant number, since it is smaller than the sum of its proper divisors (1571229939726720).

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

423870020945280 is a wasteful number, since it uses less digits than its factorization.

423870020945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 423870020945280 in words is "four hundred twenty-three trillion, eight hundred seventy billion, twenty million, nine hundred forty-five thousand, two hundred eighty".