1918723632400 has 45 divisors (see below), whose sum is σ = 4609800085701. Its totient is φ = 767478371520.

The previous prime is 1918723632383. The next prime is 1918723632407. The reversal of 1918723632400 is 42363278191.

The square root of 1918723632400 is 1385180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 690740507664 + 1227983124736 = 831108^2 + 1108144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1918723632407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27668971 + ... + 27738229.

Almost surely, 2^{1918723632400} is an apocalyptic number.

1918723632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1918723632400 is the 1385180-th square number.

It is an amenable number.

1918723632400 is an abundant number, since it is smaller than the sum of its proper divisors (2691076453301).

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

1918723632400 is an frugal number, since it uses more digits than its factorization.

1918723632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138536 (or 69266 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1918723632400 in words is "one trillion, nine hundred eighteen billion, seven hundred twenty-three million, six hundred thirty-two thousand, four hundred".