421876000000 has 1008 divisors, whose sum is σ = 1386069758080. Its totient is φ = 124416000000.

The previous prime is 421875999983. The next prime is 421876000027. The reversal of 421876000000 is 678124.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 421876000000 = 100³ + 7500³ = 4150³ + 7050³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6915999970 + ... + 6916000030.

Almost surely, 2^421876000000 is an apocalyptic number.

421876000000 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 421876000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693034879040).

421876000000 is an abundant number, since it is smaller than the sum of its proper divisors (964193758080).

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

421876000000 is an frugal number, since it uses more digits than its factorization.

421876000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 421876000000 its reverse (678124), we get a palindrome (421876678124).

The spelling of 421876000000 in words is "four hundred twenty-one billion, eight hundred seventy-six million", and thus it is an aban number.