1067987773440 has 480 divisors, whose sum is σ = 4374879949440. Its totient is φ = 244110163968.

The previous prime is 1067987773421. The next prime is 1067987773493. The reversal of 1067987773440 is 443777897601.

1067987773440 is a `hidden beast` number, since 106 + 7 + 9 + 87 + 7 + 7 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1067987773440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5714109 + ... + 5898051.

It is an arithmetic number, because the mean of its divisors is an integer number (9114333228).

Almost surely, 2^{1067987773440} is an apocalyptic number.

1067987773440 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 1067987773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187439974720).

1067987773440 is an abundant number, since it is smaller than the sum of its proper divisors (3306892176000).

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

1067987773440 is an equidigital number, since it uses as much as digits as its factorization.

1067987773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183989 (or 183960 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 1067987773440 in words is "one trillion, sixty-seven billion, nine hundred eighty-seven million, seven hundred seventy-three thousand, four hundred forty".