2018416680400 has 120 divisors (see below), whose sum is σ = 4993631138144. Its totient is φ = 783566784000.

The previous prime is 2018416680377. The next prime is 2018416680419. The reversal of 2018416680400 is 40866148102.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2326675 + ... + 3074125.

Almost surely, 2^{2018416680400} is an apocalyptic number.

2018416680400 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 2018416680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496815569072).

2018416680400 is an abundant number, since it is smaller than the sum of its proper divisors (2975214457744).

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

2018416680400 is a wasteful number, since it uses less digits than its factorization.

2018416680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747669 (or 747658 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 2018416680400 in words is "two trillion, eighteen billion, four hundred sixteen million, six hundred eighty thousand, four hundred".