1120414004100 has 54 divisors (see below), whose sum is σ = 3511875453450. Its totient is φ = 298777067520.

The previous prime is 1120414004093. The next prime is 1120414004113. The reversal of 1120414004100 is 14004140211.

1120414004100 is a `hidden beast` number, since 1 + 120 + 41 + 400 + 4 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 135877755456 + 984536248644 = 368616^2 + 992238^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 622451325 + ... + 622453124.

Almost surely, 2^{1120414004100} is an apocalyptic number.

1120414004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120414004100 is an abundant number, since it is smaller than the sum of its proper divisors (2391461449350).

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

1120414004100 is a wasteful number, since it uses less digits than its factorization.

1120414004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244904469 (or 1244904459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1120414004100 its reverse (14004140211), we get a palindrome (1134418144311).

The spelling of 1120414004100 in words is "one trillion, one hundred twenty billion, four hundred fourteen million, four thousand, one hundred".