420208145280 has 1920 divisors, whose sum is σ = 1965636288000. Its totient is φ = 83099934720.

The previous prime is 420208145261. The next prime is 420208145297. The reversal of 420208145280 is 82541802024.

420208145280 is a `hidden beast` number, since 420 + 208 + 1 + 4 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2111598621 + ... + 2111598819.

It is an arithmetic number, because the mean of its divisors is an integer number (1023768900).

Almost surely, 2^420208145280 is an apocalyptic number.

420208145280 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 420208145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982818144000).

420208145280 is an abundant number, since it is smaller than the sum of its proper divisors (1545428142720).

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

420208145280 is a wasteful number, since it uses less digits than its factorization.

420208145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 420208145280 in words is "four hundred twenty billion, two hundred eight million, one hundred forty-five thousand, two hundred eighty".