421436441600 has 264 divisors, whose sum is σ = 1093028041728. Its totient is φ = 160944947200.

The previous prime is 421436441567. The next prime is 421436441609. The reversal of 421436441600 is 6144634124.

It is not an unprimeable number, because it can be changed into a prime (421436441609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49326929 + ... + 49335471.

Almost surely, 2^421436441600 is an apocalyptic number.

421436441600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421436441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546514020864).

421436441600 is an abundant number, since it is smaller than the sum of its proper divisors (671591600128).

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

421436441600 is a wasteful number, since it uses less digits than its factorization.

421436441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 421436441600 in words is "four hundred twenty-one billion, four hundred thirty-six million, four hundred forty-one thousand, six hundred".