1095074077440 has 1728 divisors, whose sum is σ = 4547279278080. Its totient is φ = 222953472000.

The previous prime is 1095074077439. The next prime is 1095074077501. The reversal of 1095074077440 is 447704705901.

It is a happy number.

1095074077440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1095074077440.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4543875720 + ... + 4543875960.

It is an arithmetic number, because the mean of its divisors is an integer number (2631527360).

Almost surely, 2^{1095074077440} is an apocalyptic number.

1095074077440 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 1095074077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273639639040).

1095074077440 is an abundant number, since it is smaller than the sum of its proper divisors (3452205200640).

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

1095074077440 is a wasteful number, since it uses less digits than its factorization.

1095074077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 1095074077440 in words is "one trillion, ninety-five billion, seventy-four million, seventy-seven thousand, four hundred forty".