421550144400 has 960 divisors, whose sum is σ = 1723932518400. Its totient is φ = 85520793600.

The previous prime is 421550144311. The next prime is 421550144417. The reversal of 421550144400 is 4441055124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 922428972 + ... + 922429428.

It is an arithmetic number, because the mean of its divisors is an integer number (1795763040).

Almost surely, 2^421550144400 is an apocalyptic number.

421550144400 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 421550144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861966259200).

421550144400 is an abundant number, since it is smaller than the sum of its proper divisors (1302382374000).

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

421550144400 is a wasteful number, since it uses less digits than its factorization.

421550144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 421550144400 its reverse (4441055124), we get a palindrome (425991199524).

The spelling of 421550144400 in words is "four hundred twenty-one billion, five hundred fifty million, one hundred forty-four thousand, four hundred".