420288321600 has 252 divisors, whose sum is σ = 1707204900544. Its totient is φ = 96065879040.

The previous prime is 420288321589. The next prime is 420288321617. The reversal of 420288321600 is 6123882024.

420288321600 is a `hidden beast` number, since 4 + 2 + 0 + 28 + 8 + 3 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1983964 + ... + 2185563.

Almost surely, 2^420288321600 is an apocalyptic number.

420288321600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420288321600 is an abundant number, since it is smaller than the sum of its proper divisors (1286916578944).

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

420288321600 is a wasteful number, since it uses less digits than its factorization.

420288321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169562 (or 4169544 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 420288321600 in words is "four hundred twenty billion, two hundred eighty-eight million, three hundred twenty-one thousand, six hundred".