420552181600 has 72 divisors (see below), whose sum is σ = 1026765376560. Its totient is φ = 168205739520.

The previous prime is 420552181589. The next prime is 420552181613. The reversal of 420552181600 is 6181255024.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 14275686 + ... + 14305114.

It is an arithmetic number, because the mean of its divisors is an integer number (14260630230).

Almost surely, 2^420552181600 is an apocalyptic number.

420552181600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420552181600 is an abundant number, since it is smaller than the sum of its proper divisors (606213194960).

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

420552181600 is a wasteful number, since it uses less digits than its factorization.

420552181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47312 (or 47299 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 420552181600 in words is "four hundred twenty billion, five hundred fifty-two million, one hundred eighty-one thousand, six hundred".