1825442150400 has 864 divisors, whose sum is σ = 7182700434000. Its totient is φ = 439379558400.

The previous prime is 1825442150359. The next prime is 1825442150401. The reversal of 1825442150400 is 40512445281.

1825442150400 is a `hidden beast` number, since 1 + 8 + 2 + 544 + 21 + 50 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825442150401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 755249992 + ... + 755252408.

Almost surely, 2^{1825442150400} is an apocalyptic number.

1825442150400 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 1825442150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591350217000).

1825442150400 is an abundant number, since it is smaller than the sum of its proper divisors (5357258283600).

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

1825442150400 is a wasteful number, since it uses less digits than its factorization.

1825442150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 1825442150400 its reverse (40512445281), we get a palindrome (1865954595681).

The spelling of 1825442150400 in words is "one trillion, eight hundred twenty-five billion, four hundred forty-two million, one hundred fifty thousand, four hundred".