1196365040640 has 1408 divisors, whose sum is σ = 5378832138240. Its totient is φ = 244939161600.

The previous prime is 1196365040621. The next prime is 1196365040671. The reversal of 1196365040640 is 460405636911.

1196365040640 is a `hidden beast` number, since 1 + 1 + 9 + 636 + 5 + 0 + 4 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 755757289 + ... + 755758871.

It is an arithmetic number, because the mean of its divisors is an integer number (3820193280).

Almost surely, 2^{1196365040640} is an apocalyptic number.

1196365040640 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 1196365040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689416069120).

1196365040640 is an abundant number, since it is smaller than the sum of its proper divisors (4182467097600).

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

1196365040640 is a wasteful number, since it uses less digits than its factorization.

1196365040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1196365040640 in words is "one trillion, one hundred ninety-six billion, three hundred sixty-five million, forty thousand, six hundred forty".