1107570119040 has 2048 divisors, whose sum is σ = 5197436928000. Its totient is φ = 215946362880.

The previous prime is 1107570118999. The next prime is 1107570119057. The reversal of 1107570119040 is 409110757011.

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 = 1107570118986 and 1107570119004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4879163407 + ... + 4879163633.

It is an arithmetic number, because the mean of its divisors is an integer number (2537811000).

Almost surely, 2^{1107570119040} is an apocalyptic number.

1107570119040 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 1107570119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598718464000).

1107570119040 is an abundant number, since it is smaller than the sum of its proper divisors (4089866808960).

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

1107570119040 is a wasteful number, since it uses less digits than its factorization.

1107570119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 1107570119040 in words is "one trillion, one hundred seven billion, five hundred seventy million, one hundred nineteen thousand, forty".