421212010400 has 144 divisors (see below), whose sum is σ = 1043010743040. Its totient is φ = 166078848000.

The previous prime is 421212010397. The next prime is 421212010409. The reversal of 421212010400 is 4010212124.

It is not an unprimeable number, because it can be changed into a prime (421212010409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40885250 + ... + 40895550.

It is an arithmetic number, because the mean of its divisors is an integer number (7243130160).

Almost surely, 2^421212010400 is an apocalyptic number.

421212010400 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 421212010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521505371520).

421212010400 is an abundant number, since it is smaller than the sum of its proper divisors (621798732640).

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

421212010400 is a wasteful number, since it uses less digits than its factorization.

421212010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 421212010400 its reverse (4010212124), we get a palindrome (425222222524).

The spelling of 421212010400 in words is "four hundred twenty-one billion, two hundred twelve million, ten thousand, four hundred".