40170666607104 has 320 divisors, whose sum is σ = 122828849307648. Its totient is φ = 11643657850880.

The previous prime is 40170666607087. The next prime is 40170666607109.

40170666607104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40170666607104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40170666607109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46594417 + ... + 47448719.

Almost surely, 2^{40170666607104} is an apocalyptic number.

40170666607104 is a gapful number since it is divisible by the number (44) 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 40170666607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61414424653824).

40170666607104 is an abundant number, since it is smaller than the sum of its proper divisors (82658182700544).

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

40170666607104 is an equidigital number, since it uses as much as digits as its factorization.

40170666607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854380 (or 854342 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 40170666607104 in words is "forty trillion, one hundred seventy billion, six hundred sixty-six million, six hundred seven thousand, one hundred four".