421314400414000 has 80 divisors (see below), whose sum is σ = 1018933144703136. Its totient is φ = 168493514592000.

The previous prime is 421314400413989. The next prime is 421314400414027. The reversal of 421314400414000 is 414004413124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 421314400414000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9696871 + ... + 30604870.

Almost surely, 2^{421314400414000} is an apocalyptic number.

421314400414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421314400414000 is an abundant number, since it is smaller than the sum of its proper divisors (597618744289136).

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

421314400414000 is a wasteful number, since it uses less digits than its factorization.

421314400414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40306991 (or 40306975 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 421314400414000 its reverse (414004413124), we get a palindrome (421728404827124).

The spelling of 421314400414000 in words is "four hundred twenty-one trillion, three hundred fourteen billion, four hundred million, four hundred fourteen thousand".