421825433400 has 1920 divisors, whose sum is σ = 1877540544000. Its totient is φ = 85593231360.

The previous prime is 421825433389. The next prime is 421825433401. The reversal of 421825433400 is 4334528124.

421825433400 is a `hidden beast` number, since 4 + 2 + 1 + 82 + 543 + 34 + 0 + 0 = 666.

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 (421825433401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2686786122 + ... + 2686786278.

It is an arithmetic number, because the mean of its divisors is an integer number (977885700).

Almost surely, 2^421825433400 is an apocalyptic number.

421825433400 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 421825433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938770272000).

421825433400 is an abundant number, since it is smaller than the sum of its proper divisors (1455715110600).

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

421825433400 is a wasteful number, since it uses less digits than its factorization.

421825433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 421825433400 in words is "four hundred twenty-one billion, eight hundred twenty-five million, four hundred thirty-three thousand, four hundred".