1206368785440 has 576 divisors, whose sum is σ = 5127840297216. Its totient is φ = 251461656576.

The previous prime is 1206368785429. The next prime is 1206368785451. The reversal of 1206368785440 is 445878636021.

It is a happy number.

1206368785440 is a `hidden beast` number, since 1 + 2 + 0 + 63 + 68 + 7 + 85 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1206368785429) and next prime (1206368785451).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10820862 + ... + 10931778.

It is an arithmetic number, because the mean of its divisors is an integer number (8902500516).

Almost surely, 2^{1206368785440} is an apocalyptic number.

1206368785440 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 1206368785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563920148608).

1206368785440 is an abundant number, since it is smaller than the sum of its proper divisors (3921471511776).

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

1206368785440 is a wasteful number, since it uses less digits than its factorization.

1206368785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111041 (or 111030 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1206368785440 in words is "one trillion, two hundred six billion, three hundred sixty-eight million, seven hundred eighty-five thousand, four hundred forty".