1067064414000 has 320 divisors, whose sum is σ = 3734054338560. Its totient is φ = 260591385600.

The previous prime is 1067064413971. The next prime is 1067064414061. The reversal of 1067064414000 is 4144607601.

It is a super-2 number, since 2×1067064414000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9852141 + ... + 9959859.

It is an arithmetic number, because the mean of its divisors is an integer number (11668919808).

Almost surely, 2^{1067064414000} is an apocalyptic number.

1067064414000 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 1067064414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867027169280).

1067064414000 is an abundant number, since it is smaller than the sum of its proper divisors (2666989924560).

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

1067064414000 is a wasteful number, since it uses less digits than its factorization.

1067064414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107885 (or 107869 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1067064414000 in words is "one trillion, sixty-seven billion, sixty-four million, four hundred fourteen thousand".