1067171641600 has 243 divisors, whose sum is σ = 2722536545337. Its totient is φ = 414141603840.

The previous prime is 1067171641589. The next prime is 1067171641619. The reversal of 1067171641600 is 61461717601.

It is a happy number.

The square root of 1067171641600 is 1033040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 54845892864 + 1012325748736 = 234192^2 + 1006144^2 .

It is a super-2 number, since 2×1067171641600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3057798226 + ... + 3057798574.

Almost surely, 2^{1067171641600} is an apocalyptic number.

1067171641600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1067171641600 is the 1033040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067171641600

1067171641600 is an abundant number, since it is smaller than the sum of its proper divisors (1655364903737).

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

1067171641600 is an frugal number, since it uses more digits than its factorization.

1067171641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 1067171641600 in words is "one trillion, sixty-seven billion, one hundred seventy-one million, six hundred forty-one thousand, six hundred".