1481068592640 has 3200 divisors, whose sum is σ = 7306722339840. Its totient is φ = 278628139008.

The previous prime is 1481068592639. The next prime is 1481068592669. The reversal of 1481068592640 is 462958601841.

1481068592640 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 0 + 6 + 8 + 592 + 6 + 40 = 666.

It is a super-2 number, since 2×1481068592640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 77950978551 + ... + 77950978569.

Almost surely, 2^{1481068592640} is an apocalyptic number.

1481068592640 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 1481068592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653361169920).

1481068592640 is an abundant number, since it is smaller than the sum of its proper divisors (5825653747200).

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

1481068592640 is an frugal number, since it uses more digits than its factorization.

1481068592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1481068592640 in words is "one trillion, four hundred eighty-one billion, sixty-eight million, five hundred ninety-two thousand, six hundred forty".