1082067517440 has 1380 divisors, whose sum is σ = 4859922688236. Its totient is φ = 228304355328.

The previous prime is 1082067517381. The next prime is 1082067517451. The reversal of 1082067517440 is 447157602801.

1082067517440 is a `hidden beast` number, since 10 + 8 + 20 + 67 + 517 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266355081216 + 815712436224 = 516096^2 + 903168^2 .

It is a super-2 number, since 2×1082067517440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 83235962874 + ... + 83235962886.

Almost surely, 2^{1082067517440} is an apocalyptic number.

1082067517440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1082067517440 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082067517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429961344118).

1082067517440 is an abundant number, since it is smaller than the sum of its proper divisors (3777855170796).

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

1082067517440 is an frugal number, since it uses more digits than its factorization.

1082067517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1082067517440 in words is "one trillion, eighty-two billion, sixty-seven million, five hundred seventeen thousand, four hundred forty".