1074181616640 has 1936 divisors, whose sum is σ = 4699527491520. Its totient is φ = 232190115840.

The previous prime is 1074181616597. The next prime is 1074181616671. The reversal of 1074181616640 is 466161814701.

1074181616640 is a `hidden beast` number, since 10 + 7 + 4 + 18 + 1 + 616 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×1074181616640² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 56535874551 + ... + 56535874569.

Almost surely, 2^{1074181616640} is an apocalyptic number.

1074181616640 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 1074181616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349763745760).

1074181616640 is an abundant number, since it is smaller than the sum of its proper divisors (3625345874880).

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

1074181616640 is an equidigital number, since it uses as much as digits as its factorization.

1074181616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1074181616640 in words is "one trillion, seventy-four billion, one hundred eighty-one million, six hundred sixteen thousand, six hundred forty".