1841162400 has 1008 divisors, whose sum is σ = 8606824128. Its totient is φ = 373248000.

The previous prime is 1841162381. The next prime is 1841162429. The reversal of 1841162400 is 42611481.

It is a happy number.

1841162400 is a `hidden beast` number, since 1 + 8 + 411 + 6 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44906380 + ... + 44906420.

It is an arithmetic number, because the mean of its divisors is an integer number (8538516).

Almost surely, 2^1841162400 is an apocalyptic number.

1841162400 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 1841162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303412064).

1841162400 is an abundant number, since it is smaller than the sum of its proper divisors (6765661728).

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

1841162400 is a wasteful number, since it uses less digits than its factorization.

1841162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1841162400 is about 42908.7683346889. The cubic root of 1841162400 is about 1225.6431219730.

Adding to 1841162400 its reverse (42611481), we get a palindrome (1883773881).

The spelling of 1841162400 in words is "one billion, eight hundred forty-one million, one hundred sixty-two thousand, four hundred".