10409886778240 has 64 divisors (see below), whose sum is σ = 25355685389760. Its totient is φ = 4085389514752.

The previous prime is 10409886778147. The next prime is 10409886778243. The reversal of 10409886778240 is 4287768890401.

10409886778240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409886778243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153413704 + ... + 153481543.

It is an arithmetic number, because the mean of its divisors is an integer number (396182584215).

Almost surely, 2^{10409886778240} is an apocalyptic number.

10409886778240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10409886778240 is an abundant number, since it is smaller than the sum of its proper divisors (14945798611520).

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

10409886778240 is an equidigital number, since it uses as much as digits as its factorization.

10409886778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306895319 (or 306895307 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

The spelling of 10409886778240 in words is "ten trillion, four hundred nine billion, eight hundred eighty-six million, seven hundred seventy-eight thousand, two hundred forty".