421893675270144 has 4800 divisors, whose sum is σ = 1753903742976000. Its totient is φ = 97760638402560.

The previous prime is 421893675270139. The next prime is 421893675270157. The reversal of 421893675270144 is 441072576398124.

421893675270144 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 9 + 3 + 67 + 527 + 0 + 1 + 44 = 666.

It is a super-3 number, since 3×421893675270144³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3321997443009 + ... + 3321997443135.

It is an arithmetic number, because the mean of its divisors is an integer number (365396613120).

It is a 1-persistent number, because it is pandigital, but 2⋅421893675270144 = 843787350540288 is not.

Almost surely, 2^{421893675270144} is an apocalyptic number.

421893675270144 is a gapful number since it is divisible by the number (44) 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 421893675270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876951871488000).

421893675270144 is an abundant number, since it is smaller than the sum of its proper divisors (1332010067705856).

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

421893675270144 is a wasteful number, since it uses less digits than its factorization.

421893675270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 421893675270144 in words is "four hundred twenty-one trillion, eight hundred ninety-three billion, six hundred seventy-five million, two hundred seventy thousand, one hundred forty-four".