1900643705940 has 288 divisors, whose sum is σ = 6623332329600. Its totient is φ = 404820218880.

The previous prime is 1900643705927. The next prime is 1900643705971. The reversal of 1900643705940 is 495073460091.

It is a super-2 number, since 2×1900643705940² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1900643705940.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3128566 + ... + 3686354.

It is an arithmetic number, because the mean of its divisors is an integer number (22997681700).

Almost surely, 2^{1900643705940} is an apocalyptic number.

1900643705940 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 1900643705940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311666164800).

1900643705940 is an abundant number, since it is smaller than the sum of its proper divisors (4722688623660).

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

1900643705940 is a wasteful number, since it uses less digits than its factorization.

1900643705940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557895 (or 557886 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 1900643705940 in words is "one trillion, nine hundred billion, six hundred forty-three million, seven hundred five thousand, nine hundred forty".