1940436864000 has 1408 divisors, whose sum is σ = 7817247360000. Its totient is φ = 472847155200.

The previous prime is 1940436863993. The next prime is 1940436864007. The reversal of 1940436864000 is 4686340491.

It is an interprime number because it is at equal distance from previous prime (1940436863993) and next prime (1940436864007).

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 (1940436864007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1904255491 + ... + 1904256509.

Almost surely, 2^{1940436864000} is an apocalyptic number.

1940436864000 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 1940436864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908623680000).

1940436864000 is an abundant number, since it is smaller than the sum of its proper divisors (5876810496000).

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

1940436864000 is a wasteful number, since it uses less digits than its factorization.

1940436864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1940436864000 in words is "one trillion, nine hundred forty billion, four hundred thirty-six million, eight hundred sixty-four thousand".