109852129440 has 72 divisors (see below), whose sum is σ = 374870396628. Its totient is φ = 29293900800.

The previous prime is 109852129423. The next prime is 109852129451. The reversal of 109852129440 is 44921258901.

It is a happy number.

109852129440 is a `hidden beast` number, since 1 + 0 + 9 + 85 + 2 + 129 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103172009616 + 6680119824 = 321204^2 + 81732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×109852129440³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38141661 + ... + 38144540.

Almost surely, 2^109852129440 is an apocalyptic number.

109852129440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109852129440 is an abundant number, since it is smaller than the sum of its proper divisors (265018267188).

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

109852129440 is a wasteful number, since it uses less digits than its factorization.

109852129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76286222 (or 76286211 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 109852129440 in words is "one hundred nine billion, eight hundred fifty-two million, one hundred twenty-nine thousand, four hundred forty".