1940164512000 has 2304 divisors, whose sum is σ = 8063657312256. Its totient is φ = 406978560000.

The previous prime is 1940164511981. The next prime is 1940164512017. The reversal of 1940164512000 is 2154610491.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20001695952 + ... + 20001696048.

It is an arithmetic number, because the mean of its divisors is an integer number (3499851264).

Almost surely, 2^{1940164512000} is an apocalyptic number.

1940164512000 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 1940164512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031828656128).

1940164512000 is an abundant number, since it is smaller than the sum of its proper divisors (6123492800256).

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

1940164512000 is a wasteful number, since it uses less digits than its factorization.

1940164512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1940164512000 in words is "one trillion, nine hundred forty billion, one hundred sixty-four million, five hundred twelve thousand".