2019381350400 has 234 divisors, whose sum is σ = 7232993008410. Its totient is φ = 538501447680.

The previous prime is 2019381350387. The next prime is 2019381350419. The reversal of 2019381350400 is 40531839102.

2019381350400 is a `hidden beast` number, since 2 + 0 + 193 + 8 + 13 + 50 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 463793688576 + 1555587661824 = 681024^2 + 1247232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173985 + ... + 2017184.

Almost surely, 2^{2019381350400} is an apocalyptic number.

2019381350400 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 2019381350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616496504205).

2019381350400 is an abundant number, since it is smaller than the sum of its proper divisors (5213611658010).

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

2019381350400 is a wasteful number, since it uses less digits than its factorization.

2019381350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191209 (or 2191179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2019381350400 in words is "two trillion, nineteen billion, three hundred eighty-one million, three hundred fifty thousand, four hundred".