108012279317040 has 2400 divisors, whose sum is σ = 476983233619200. Its totient is φ = 22497851658240.

The previous prime is 108012279317039. The next prime is 108012279317051. The reversal of 108012279317040 is 40713972210801.

108012279317040 is a `hidden beast` number, since 10 + 8 + 0 + 12 + 279 + 317 + 0 + 40 = 666.

It is a super-4 number, since 4×108012279317040⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 53710729635 + ... + 53710731645.

It is an arithmetic number, because the mean of its divisors is an integer number (198743014008).

Almost surely, 2^{108012279317040} is an apocalyptic number.

108012279317040 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 108012279317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238491616809600).

108012279317040 is an abundant number, since it is smaller than the sum of its proper divisors (368970954302160).

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

108012279317040 is a wasteful number, since it uses less digits than its factorization.

108012279317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 108012279317040 in words is "one hundred eight trillion, twelve billion, two hundred seventy-nine million, three hundred seventeen thousand, forty".