1109137004640 has 240 divisors, whose sum is σ = 4473519617952. Its totient is φ = 253517008896.

The previous prime is 1109137004623. The next prime is 1109137004641. The reversal of 1109137004640 is 464007319011.

1109137004640 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 1 + 3 + 7 + 0 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1109137004640³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1109137004595 and 1109137004604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109137004641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6022249 + ... + 6203688.

Almost surely, 2^{1109137004640} is an apocalyptic number.

1109137004640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1109137004640 is an abundant number, since it is smaller than the sum of its proper divisors (3364382613312).

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

1109137004640 is a wasteful number, since it uses less digits than its factorization.

1109137004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225971 (or 12225954 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1109137004640 in words is "one trillion, one hundred nine billion, one hundred thirty-seven million, four thousand, six hundred forty".