1818735242400 has 432 divisors, whose sum is σ = 6514608600864. Its totient is φ = 477379491840.

The previous prime is 1818735242351. The next prime is 1818735242407. The reversal of 1818735242400 is 42425378181.

1818735242400 is a `hidden beast` number, since 1 + 8 + 1 + 87 + 3 + 524 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1818735242407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165529707 + ... + 165540693.

It is an arithmetic number, because the mean of its divisors is an integer number (15080112502).

Almost surely, 2^{1818735242400} is an apocalyptic number.

1818735242400 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 1818735242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257304300432).

1818735242400 is an abundant number, since it is smaller than the sum of its proper divisors (4695873358464).

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

1818735242400 is a wasteful number, since it uses less digits than its factorization.

1818735242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11373 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1818735242400 in words is "one trillion, eight hundred eighteen billion, seven hundred thirty-five million, two hundred forty-two thousand, four hundred".