945743040000 has 2000 divisors, whose sum is σ = 4009285817856. Its totient is φ = 219801600000.

The previous prime is 945743039999. The next prime is 945743040001. The reversal of 945743040000 is 40347549.

It is an interprime number because it is at equal distance from previous prime (945743039999) and next prime (945743040001).

It is a tau number, because it is divible by the number of its divisors (2000).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945743040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 8838719947 + ... + 8838720053.

Almost surely, 2^945743040000 is an apocalyptic number.

945743040000 is a gapful number since it is divisible by the number (90) 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 945743040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004642908928).

945743040000 is an abundant number, since it is smaller than the sum of its proper divisors (3063542777856).

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

945743040000 is a wasteful number, since it uses less digits than its factorization.

945743040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 945743040000 its reverse (40347549), we get a palindrome (945783387549).

The spelling of 945743040000 in words is "nine hundred forty-five billion, seven hundred forty-three million, forty thousand".