1034226164160 has 672 divisors, whose sum is σ = 4130126807040. Its totient is φ = 232665440256.

The previous prime is 1034226164143. The next prime is 1034226164189. The reversal of 1034226164160 is 614616224301.

1034226164160 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 2 + 6 + 1 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359229601 + ... + 359232479.

Almost surely, 2^{1034226164160} is an apocalyptic number.

1034226164160 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 1034226164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065063403520).

1034226164160 is an abundant number, since it is smaller than the sum of its proper divisors (3095900642880).

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

1034226164160 is a wasteful number, since it uses less digits than its factorization.

1034226164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1034226164160 in words is "one trillion, thirty-four billion, two hundred twenty-six million, one hundred sixty-four thousand, one hundred sixty".