1941240304800 has 216 divisors, whose sum is σ = 6863660127324. Its totient is φ = 516275527680.

The previous prime is 1941240304741. The next prime is 1941240304807. The reversal of 1941240304800 is 84030421491.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1055164492944 + 886075811856 = 1027212^2 + 941316^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1941240304807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2324184 + ... + 3047016.

Almost surely, 2^{1941240304800} is an apocalyptic number.

1941240304800 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 1941240304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431830063662).

1941240304800 is an abundant number, since it is smaller than the sum of its proper divisors (4922419822524).

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

1941240304800 is a wasteful number, since it uses less digits than its factorization.

1941240304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723232 (or 723216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1941240304800 in words is "one trillion, nine hundred forty-one billion, two hundred forty million, three hundred four thousand, eight hundred".