2018141798400 has 1584 divisors, whose sum is σ = 9087074889984. Its totient is φ = 416746045440.

The previous prime is 2018141798383. The next prime is 2018141798419. The reversal of 2018141798400 is 48971418102.

2018141798400 is a `hidden beast` number, since 2 + 0 + 18 + 141 + 7 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42939187177 + ... + 42939187223.

Almost surely, 2^{2018141798400} is an apocalyptic number.

2018141798400 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 2018141798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543537444992).

2018141798400 is an abundant number, since it is smaller than the sum of its proper divisors (7068933091584).

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

2018141798400 is an frugal number, since it uses more digits than its factorization.

2018141798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 2018141798400 in words is "two trillion, eighteen billion, one hundred forty-one million, seven hundred ninety-eight thousand, four hundred".