109484413710400 has 63 divisors (see below), whose sum is σ = 269401115358109. Its totient is φ = 43793598068480.

The previous prime is 109484413710383. The next prime is 109484413710421. The reversal of 109484413710400 is 4017314484901.

The square root of 109484413710400 is 10463480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39414388935744 + 70070024774656 = 6278088^2 + 8370784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 418408407 + ... + 418669993.

Almost surely, 2^{109484413710400} is an apocalyptic number.

109484413710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109484413710400 is the 10463480-th square number.

It is an amenable number.

109484413710400 is an abundant number, since it is smaller than the sum of its proper divisors (159916701647709).

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

109484413710400 is an frugal number, since it uses more digits than its factorization.

109484413710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523196 (or 261594 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 109484413710400 in words is "one hundred nine trillion, four hundred eighty-four billion, four hundred thirteen million, seven hundred ten thousand, four hundred".