421798291600 has 135 divisors (see below), whose sum is σ = 1179072788697. Its totient is φ = 144585383040.

The previous prime is 421798291547. The next prime is 421798291637. The reversal of 421798291600 is 6192897124.

The square root of 421798291600 is 649460.

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

It can be written as a sum of positive squares in only one way, i.e., 151847384976 + 269950906624 = 389676^2 + 519568^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90922081 + ... + 90926719.

Almost surely, 2^421798291600 is an apocalyptic number.

421798291600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

421798291600 is the 649460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421798291600

421798291600 is an abundant number, since it is smaller than the sum of its proper divisors (757274497097).

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

421798291600 is an frugal number, since it uses more digits than its factorization.

421798291600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 421798291600 by its sum of digits (49), we get a square (20668116288400 = 4546220²).

421798291600 divided by its sum of digits (49) gives a square (8608128400 = 92780²).

The spelling of 421798291600 in words is "four hundred twenty-one billion, seven hundred ninety-eight million, two hundred ninety-one thousand, six hundred".