213014404020400 has 120 divisors (see below), whose sum is σ = 513384445761264. Its totient is φ = 84936556953600.

The previous prime is 213014404020367. The next prime is 213014404020419. The reversal of 213014404020400 is 4020404410312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987198924 + ... + 987414676.

Almost surely, 2^{213014404020400} is an apocalyptic number.

213014404020400 is a gapful number since it is divisible by the number (20) 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 213014404020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256692222880632).

213014404020400 is an abundant number, since it is smaller than the sum of its proper divisors (300370041740864).

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

213014404020400 is a wasteful number, since it uses less digits than its factorization.

213014404020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223559 (or 223548 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 213014404020400 its reverse (4020404410312), we get a palindrome (217034808430712).

The spelling of 213014404020400 in words is "two hundred thirteen trillion, fourteen billion, four hundred four million, twenty thousand, four hundred".