421513021440 has 864 divisors, whose sum is σ = 1754802766080. Its totient is φ = 93206937600.

The previous prime is 421513021429. The next prime is 421513021453. The reversal of 421513021440 is 44120315124.

421513021440 is a `hidden beast` number, since 4 + 2 + 1 + 513 + 0 + 2 + 144 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139989535 + ... + 139992545.

It is an arithmetic number, because the mean of its divisors is an integer number (2031021720).

Almost surely, 2^421513021440 is an apocalyptic number.

421513021440 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 421513021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877401383040).

421513021440 is an abundant number, since it is smaller than the sum of its proper divisors (1333289744640).

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

421513021440 is a wasteful number, since it uses less digits than its factorization.

421513021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 421513021440 its reverse (44120315124), we get a palindrome (465633336564).

The spelling of 421513021440 in words is "four hundred twenty-one billion, five hundred thirteen million, twenty-one thousand, four hundred forty".