421242606400 has 336 divisors, whose sum is σ = 1293697948032. Its totient is φ = 131152896000.

The previous prime is 421242606397. The next prime is 421242606403. The reversal of 421242606400 is 4606242124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (421242606397) and next prime (421242606403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421242606403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196749330 + ... + 196751470.

It is an arithmetic number, because the mean of its divisors is an integer number (3850291512).

Almost surely, 2^421242606400 is an apocalyptic number.

421242606400 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 421242606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646848974016).

421242606400 is an abundant number, since it is smaller than the sum of its proper divisors (872455341632).

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

421242606400 is a wasteful number, since it uses less digits than its factorization.

421242606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 421242606400 its reverse (4606242124), we get a palindrome (425848848524).

The spelling of 421242606400 in words is "four hundred twenty-one billion, two hundred forty-two million, six hundred six thousand, four hundred".