170106493440 has 1280 divisors, whose sum is σ = 662861574144. Its totient is φ = 36805017600.

The previous prime is 170106493393. The next prime is 170106493463. The reversal of 170106493440 is 44394601071.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×170106493440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2788631010 + ... + 2788631070.

Almost surely, 2^170106493440 is an apocalyptic number.

170106493440 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 170106493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331430787072).

170106493440 is an abundant number, since it is smaller than the sum of its proper divisors (492755080704).

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

170106493440 is a wasteful number, since it uses less digits than its factorization.

170106493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 170106493440 in words is "one hundred seventy billion, one hundred six million, four hundred ninety-three thousand, four hundred forty".