1800523040400 has 720 divisors, whose sum is σ = 7447590212608. Its totient is φ = 394149888000.

The previous prime is 1800523040383. The next prime is 1800523040413. The reversal of 1800523040400 is 40403250081.

1800523040400 is a `hidden beast` number, since 180 + 0 + 52 + 30 + 4 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1800523040400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75764520 + ... + 75788280.

Almost surely, 2^{1800523040400} is an apocalyptic number.

1800523040400 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 1800523040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723795106304).

1800523040400 is an abundant number, since it is smaller than the sum of its proper divisors (5647067172208).

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

1800523040400 is a wasteful number, since it uses less digits than its factorization.

1800523040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920 (or 23906 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1800523040400 its reverse (40403250081), we get a palindrome (1840926290481).

The spelling of 1800523040400 in words is "one trillion, eight hundred billion, five hundred twenty-three million, forty thousand, four hundred".