420960003552 has 72 divisors (see below), whose sum is σ = 1305932748120. Its totient is φ = 127563636480.

The previous prime is 420960003551. The next prime is 420960003571. The reversal of 420960003552 is 255300069024.

420960003552 is a `hidden beast` number, since 42 + 0 + 9 + 60 + 0 + 0 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420960003551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66436227 + ... + 66442562.

It is an arithmetic number, because the mean of its divisors is an integer number (18137954835).

Almost surely, 2^420960003552 is an apocalyptic number.

It is an amenable number.

420960003552 is an abundant number, since it is smaller than the sum of its proper divisors (884972744568).

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

420960003552 is a wasteful number, since it uses less digits than its factorization.

420960003552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132878816 (or 132878805 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 420960003552 in words is "four hundred twenty billion, nine hundred sixty million, three thousand, five hundred fifty-two".