1090107728640 has 1152 divisors, whose sum is σ = 4601248727040. Its totient is φ = 239144140800.

The previous prime is 1090107728597. The next prime is 1090107728657. The reversal of 1090107728640 is 468277010901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1027433710 + ... + 1027434770.

It is an arithmetic number, because the mean of its divisors is an integer number (3994139520).

Almost surely, 2^{1090107728640} is an apocalyptic number.

1090107728640 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 1090107728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300624363520).

1090107728640 is an abundant number, since it is smaller than the sum of its proper divisors (3511140998400).

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

1090107728640 is a wasteful number, since it uses less digits than its factorization.

1090107728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1090107728640 in words is "one trillion, ninety billion, one hundred seven million, seven hundred twenty-eight thousand, six hundred forty".