1940203630440 has 384 divisors, whose sum is σ = 6927914448000. Its totient is φ = 486668279808.

The previous prime is 1940203630403. The next prime is 1940203630441. The reversal of 1940203630440 is 440363020491.

It is a happy number.

1940203630440 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 203 + 6 + 3 + 0 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1940203630395 and 1940203630404.

It is not an unprimeable number, because it can be changed into a prime (1940203630441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530253331 + ... + 530256989.

It is an arithmetic number, because the mean of its divisors is an integer number (18041443875).

Almost surely, 2^{1940203630440} is an apocalyptic number.

1940203630440 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 1940203630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463957224000).

1940203630440 is an abundant number, since it is smaller than the sum of its proper divisors (4987710817560).

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

1940203630440 is a wasteful number, since it uses less digits than its factorization.

1940203630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1940203630440 in words is "one trillion, nine hundred forty billion, two hundred three million, six hundred thirty thousand, four hundred forty".