1068101929440 has 1728 divisors, whose sum is σ = 4785125284800. Its totient is φ = 221727227904.

The previous prime is 1068101929387. The next prime is 1068101929459. The reversal of 1068101929440 is 449291018601.

It is a happy number.

1068101929440 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 10 + 192 + 9 + 440 = 666.

It is a super-2 number, since 2×1068101929440² (a number of 25 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2611495956 + ... + 2611496364.

It is an arithmetic number, because the mean of its divisors is an integer number (2769169725).

Almost surely, 2^{1068101929440} is an apocalyptic number.

1068101929440 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 1068101929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392562642400).

1068101929440 is an abundant number, since it is smaller than the sum of its proper divisors (3717023355360).

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

1068101929440 is a wasteful number, since it uses less digits than its factorization.

1068101929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1068101929440 in words is "one trillion, sixty-eight billion, one hundred one million, nine hundred twenty-nine thousand, four hundred forty".