1086347845440 has 504 divisors, whose sum is σ = 4413974599008. Its totient is φ = 243097620480.

The previous prime is 1086347845397. The next prime is 1086347845447. The reversal of 1086347845440 is 445487436801.

1086347845440 is a `hidden beast` number, since 1 + 0 + 86 + 3 + 4 + 78 + 454 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086347845447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5252467 + ... + 5455373.

Almost surely, 2^{1086347845440} is an apocalyptic number.

1086347845440 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 1086347845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206987299504).

1086347845440 is an abundant number, since it is smaller than the sum of its proper divisors (3327626753568).

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

1086347845440 is a wasteful number, since it uses less digits than its factorization.

1086347845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202967 (or 202941 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 1086347845440 in words is "one trillion, eighty-six billion, three hundred forty-seven million, eight hundred forty-five thousand, four hundred forty".