1940246904960 has 2048 divisors, whose sum is σ = 9026915788800. Its totient is φ = 382205952000.

The previous prime is 1940246904941. The next prime is 1940246904979. The reversal of 1940246904960 is 694096420491.

It is a happy number.

1940246904960 is a `hidden beast` number, since 1 + 9 + 40 + 24 + 6 + 90 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1940246904941) and next prime (1940246904979).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1940246904897 and 1940246904906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4838520760 + ... + 4838521160.

It is an arithmetic number, because the mean of its divisors is an integer number (4407673725).

Almost surely, 2^{1940246904960} is an apocalyptic number.

1940246904960 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 1940246904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513457894400).

1940246904960 is an abundant number, since it is smaller than the sum of its proper divisors (7086668883840).

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

1940246904960 is a wasteful number, since it uses less digits than its factorization.

1940246904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

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

The spelling of 1940246904960 in words is "one trillion, nine hundred forty billion, two hundred forty-six million, nine hundred four thousand, nine hundred sixty".