421440013400 has 144 divisors (see below), whose sum is σ = 1151111301840. Its totient is φ = 143062752000.

The previous prime is 421440013387. The next prime is 421440013417. The reversal of 421440013400 is 4310044124.

It is a happy number.

It is a super-2 number, since 2×421440013400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776909 + ... + 1202691.

It is an arithmetic number, because the mean of its divisors is an integer number (7993828485).

Almost surely, 2^421440013400 is an apocalyptic number.

421440013400 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 421440013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575555650920).

421440013400 is an abundant number, since it is smaller than the sum of its proper divisors (729671288440).

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

421440013400 is a wasteful number, since it uses less digits than its factorization.

421440013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425914 (or 425898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 421440013400 its reverse (4310044124), we get a palindrome (425750057524).

The spelling of 421440013400 in words is "four hundred twenty-one billion, four hundred forty million, thirteen thousand, four hundred".