1107955129340 has 144 divisors (see below), whose sum is σ = 2498158454400. Its totient is φ = 411549750144.

The previous prime is 1107955129339. The next prime is 1107955129417. The reversal of 1107955129340 is 439215597011.

It is a happy number.

It is a super-2 number, since 2×1107955129340² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501027159 + ... + 2501027601.

It is an arithmetic number, because the mean of its divisors is an integer number (17348322600).

Almost surely, 2^{1107955129340} is an apocalyptic number.

1107955129340 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 1107955129340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249079227200).

1107955129340 is an abundant number, since it is smaller than the sum of its proper divisors (1390203325060).

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

1107955129340 is a wasteful number, since it uses less digits than its factorization.

1107955129340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 47.

The spelling of 1107955129340 in words is "one trillion, one hundred seven billion, nine hundred fifty-five million, one hundred twenty-nine thousand, three hundred forty".