420200552324304 has 60 divisors (see below), whose sum is σ = 1192087221435396. Its totient is φ = 138148126788096.

The previous prime is 420200552324303. The next prime is 420200552324327. The reversal of 420200552324304 is 403423255002024.

420200552324304 is a `hidden beast` number, since 4 + 2 + 0 + 20 + 0 + 5 + 5 + 2 + 324 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 319578548097600 + 100622004226704 = 17876760^2 + 10031052^2 .

It is a super-3 number, since 3×420200552324304³ (a number of 45 digits) contains 333 as substring.

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 (420200552324303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19986697647 + ... + 19986718670.

Almost surely, 2^{420200552324304} is an apocalyptic number.

It is an amenable number.

420200552324304 is an abundant number, since it is smaller than the sum of its proper divisors (771886669111092).

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

420200552324304 is a wasteful number, since it uses less digits than its factorization.

420200552324304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39973416404 (or 39973416395 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 420200552324304 in words is "four hundred twenty trillion, two hundred billion, five hundred fifty-two million, three hundred twenty-four thousand, three hundred four".