109776781440 has 256 divisors, whose sum is σ = 389660889600. Its totient is φ = 29208453120.

The previous prime is 109776781423. The next prime is 109776781451. The reversal of 109776781440 is 44187677901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7993780 + ... + 8007500.

It is an arithmetic number, because the mean of its divisors is an integer number (1522112850).

Almost surely, 2^109776781440 is an apocalyptic number.

109776781440 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 109776781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194830444800).

109776781440 is an abundant number, since it is smaller than the sum of its proper divisors (279884108160).

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

109776781440 is a wasteful number, since it uses less digits than its factorization.

109776781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 109776781440 in words is "one hundred nine billion, seven hundred seventy-six million, seven hundred eighty-one thousand, four hundred forty".