1905040650240 has 2496 divisors, whose sum is σ = 8922334417920. Its totient is φ = 375411179520.

The previous prime is 1905040650197. The next prime is 1905040650259. The reversal of 1905040650240 is 420560405091.

1905040650240 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 0 + 406 + 5 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1905040650195 and 1905040650204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14542294975 + ... + 14542295105.

Almost surely, 2^{1905040650240} is an apocalyptic number.

1905040650240 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 1905040650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461167208960).

1905040650240 is an abundant number, since it is smaller than the sum of its proper divisors (7017293767680).

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

1905040650240 is a wasteful number, since it uses less digits than its factorization.

1905040650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1905040650240 in words is "one trillion, nine hundred five billion, forty million, six hundred fifty thousand, two hundred forty".