1067250401280 has 1920 divisors, whose sum is σ = 4704858869760. Its totient is φ = 227030335488.

The previous prime is 1067250401233. The next prime is 1067250401339. The reversal of 1067250401280 is 821040527601.

1067250401280 is a `hidden beast` number, since 1 + 0 + 6 + 72 + 504 + 0 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1067250401280² (a number of 25 digits) contains 22 as substring.

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

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, 28844605422 + ... + 28844605458.

It is an arithmetic number, because the mean of its divisors is an integer number (2450447328).

Almost surely, 2^{1067250401280} is an apocalyptic number.

1067250401280 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 1067250401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352429434880).

1067250401280 is an abundant number, since it is smaller than the sum of its proper divisors (3637608468480).

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

1067250401280 is an frugal number, since it uses more digits than its factorization.

1067250401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 1067250401280 its reverse (821040527601), we get a palindrome (1888290928881).

The spelling of 1067250401280 in words is "one trillion, sixty-seven billion, two hundred fifty million, four hundred one thousand, two hundred eighty".