34166026440 has 768 divisors, whose sum is σ = 142693125120. Its totient is φ = 6897623040.

The previous prime is 34166026439. The next prime is 34166026457. The reversal of 34166026440 is 4462066143.

34166026440 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 6 + 0 + 2 + 644 + 0 = 666.

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 = 34166026395 and 34166026404.

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 191 ways as a sum of consecutive naturals, for example, 86060322 + ... + 86060718.

It is an arithmetic number, because the mean of its divisors is an integer number (185798340).

Almost surely, 2^34166026440 is an apocalyptic number.

34166026440 is a gapful number since it is divisible by the number (30) 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 34166026440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71346562560).

34166026440 is an abundant number, since it is smaller than the sum of its proper divisors (108527098680).

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

34166026440 is a wasteful number, since it uses less digits than its factorization.

34166026440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34166026440 in words is "thirty-four billion, one hundred sixty-six million, twenty-six thousand, four hundred forty".