1095201085440 has 1152 divisors, whose sum is σ = 4496506560000. Its totient is φ = 227309322240.

The previous prime is 1095201085427. The next prime is 1095201085453. The reversal of 1095201085440 is 445801025901.

1095201085440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1095201085427) and next prime (1095201085453).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274971731 + ... + 1274972589.

It is an arithmetic number, because the mean of its divisors is an integer number (3903217500).

Almost surely, 2^{1095201085440} is an apocalyptic number.

1095201085440 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 1095201085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248253280000).

1095201085440 is an abundant number, since it is smaller than the sum of its proper divisors (3401305474560).

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

1095201085440 is an equidigital number, since it uses as much as digits as its factorization.

1095201085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 1095201085440 in words is "one trillion, ninety-five billion, two hundred one million, eighty-five thousand, four hundred forty".