1940463606240 has 288 divisors, whose sum is σ = 7078272941376. Its totient is φ = 482886328320.

The previous prime is 1940463606227. The next prime is 1940463606307. The reversal of 1940463606240 is 426063640491.

1940463606240 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 4 + 636 + 0 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643422 + ... + 2072418.

It is an arithmetic number, because the mean of its divisors is an integer number (24577336602).

Almost surely, 2^{1940463606240} is an apocalyptic number.

1940463606240 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 1940463606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539136470688).

1940463606240 is an abundant number, since it is smaller than the sum of its proper divisors (5137809335136).

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

1940463606240 is a wasteful number, since it uses less digits than its factorization.

1940463606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429082 (or 1429071 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1940463606240 in words is "one trillion, nine hundred forty billion, four hundred sixty-three million, six hundred six thousand, two hundred forty".