420370689600 has 315 divisors, whose sum is σ = 1546035344931. Its totient is φ = 112036608000.

The previous prime is 420370689589. The next prime is 420370689601. The reversal of 420370689600 is 6986073024.

The square root of 420370689600 is 648360.

It is a perfect power (a square), and thus also a powerful number.

420370689600 is a `hidden beast` number, since 4 + 2 + 0 + 37 + 0 + 6 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118099446336 + 302271243264 = 343656^2 + 549792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (420370689601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 233408700 + ... + 233410500.

Almost surely, 2^420370689600 is an apocalyptic number.

420370689600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

420370689600 is the 648360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420370689600

420370689600 is an abundant number, since it is smaller than the sum of its proper divisors (1125664655331).

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

420370689600 is an frugal number, since it uses more digits than its factorization.

420370689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 420370689600 in words is "four hundred twenty billion, three hundred seventy million, six hundred eighty-nine thousand, six hundred".