1940266338192 has 720 divisors, whose sum is σ = 6923275632000. Its totient is φ = 502715953152.

The previous prime is 1940266338077. The next prime is 1940266338203. The reversal of 1940266338192 is 2918336620491.

1940266338192 is a `hidden beast` number, since 1 + 9 + 40 + 266 + 338 + 1 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1294373059 + ... + 1294374557.

It is an arithmetic number, because the mean of its divisors is an integer number (9615660600).

Almost surely, 2^{1940266338192} is an apocalyptic number.

1940266338192 is a gapful number since it is divisible by the number (12) 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 1940266338192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461637816000).

1940266338192 is an abundant number, since it is smaller than the sum of its proper divisors (4983009293808).

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

1940266338192 is a wasteful number, since it uses less digits than its factorization.

1940266338192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1940266338192 in words is "one trillion, nine hundred forty billion, two hundred sixty-six million, three hundred thirty-eight thousand, one hundred ninety-two".