20413540216400 has 120 divisors (see below), whose sum is σ = 51258547129920. Its totient is φ = 7797778053120.

The previous prime is 20413540216397. The next prime is 20413540216471. The reversal of 20413540216400 is 461204531402.

It is a congruent number.

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, 3902504 + ... + 7487096.

It is an arithmetic number, because the mean of its divisors is an integer number (427154559416).

Almost surely, 2^{20413540216400} is an apocalyptic number.

20413540216400 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 20413540216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25629273564960).

20413540216400 is an abundant number, since it is smaller than the sum of its proper divisors (30845006913520).

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

20413540216400 is a wasteful number, since it uses less digits than its factorization.

20413540216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585253 (or 3585242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 20413540216400 its reverse (461204531402), we get a palindrome (20874744747802).

The spelling of 20413540216400 in words is "twenty trillion, four hundred thirteen billion, five hundred forty million, two hundred sixteen thousand, four hundred".