102668005440 has 1344 divisors, whose sum is σ = 492073021440. Its totient is φ = 19677634560.

The previous prime is 102668005439. The next prime is 102668005481. The reversal of 102668005440 is 44500866201.

102668005440 is a `hidden beast` number, since 10 + 26 + 6 + 80 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×102668005440⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102668005395 and 102668005404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837101 + ... + 77838419.

It is an arithmetic number, because the mean of its divisors is an integer number (366125760).

Almost surely, 2^102668005440 is an apocalyptic number.

102668005440 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 102668005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246036510720).

102668005440 is an abundant number, since it is smaller than the sum of its proper divisors (389405016000).

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

102668005440 is a wasteful number, since it uses less digits than its factorization.

102668005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 102668005440 in words is "one hundred two billion, six hundred sixty-eight million, five thousand, four hundred forty".