1075119157040 has 80 divisors (see below), whose sum is σ = 2516302830240. Its totient is φ = 427184609280.

The previous prime is 1075119157039. The next prime is 1075119157043. The reversal of 1075119157040 is 407519115701.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1075119157043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51975500 + ... + 51996180.

It is an arithmetic number, because the mean of its divisors is an integer number (31453785378).

Almost surely, 2^{1075119157040} is an apocalyptic number.

1075119157040 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 1075119157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258151415120).

1075119157040 is an abundant number, since it is smaller than the sum of its proper divisors (1441183673200).

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

1075119157040 is a wasteful number, since it uses less digits than its factorization.

1075119157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24990 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 41.

The spelling of 1075119157040 in words is "one trillion, seventy-five billion, one hundred nineteen million, one hundred fifty-seven thousand, forty".