1940335655040 has 256 divisors, whose sum is σ = 6966163929600. Its totient is φ = 510334525440.

The previous prime is 1940335655023. The next prime is 1940335655051. The reversal of 1940335655040 is 405565330491.

1940335655040 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 3 + 3 + 56 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492345 + ... + 2030535.

It is an arithmetic number, because the mean of its divisors is an integer number (27211577850).

Almost surely, 2^{1940335655040} is an apocalyptic number.

1940335655040 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 1940335655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483081964800).

1940335655040 is an abundant number, since it is smaller than the sum of its proper divisors (5025828274560).

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

1940335655040 is a wasteful number, since it uses less digits than its factorization.

1940335655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538292 (or 1538274 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1940335655040 in words is "one trillion, nine hundred forty billion, three hundred thirty-five million, six hundred fifty-five thousand, forty".