1802713190400 has 2184 divisors, whose sum is σ = 7460158352640. Its totient is φ = 429981696000.

The previous prime is 1802713190387. The next prime is 1802713190423. The reversal of 1802713190400 is 40913172081.

It is a happy number.

1802713190400 is a `hidden beast` number, since 18 + 0 + 27 + 131 + 90 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 43968614380 + ... + 43968614420.

Almost surely, 2^{1802713190400} is an apocalyptic number.

1802713190400 is a gapful number since it is divisible by the number (10) 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 1802713190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730079176320).

1802713190400 is an abundant number, since it is smaller than the sum of its proper divisors (5657445162240).

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

1802713190400 is an equidigital number, since it uses as much as digits as its factorization.

1802713190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1802713190400 in words is "one trillion, eight hundred two billion, seven hundred thirteen million, one hundred ninety thousand, four hundred".