1120519319040 has 2400 divisors, whose sum is σ = 4864660016832. Its totient is φ = 245248819200.

The previous prime is 1120519319009. The next prime is 1120519319041. The reversal of 1120519319040 is 409139150211.

1120519319040 is a `hidden beast` number, since 1 + 1 + 20 + 519 + 31 + 90 + 4 + 0 = 666.

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 = 1120519318986 and 1120519319004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120519319041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15781962205 + ... + 15781962275.

Almost surely, 2^{1120519319040} is an apocalyptic number.

1120519319040 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 1120519319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432330008416).

1120519319040 is an abundant number, since it is smaller than the sum of its proper divisors (3744140697792).

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

1120519319040 is a wasteful number, since it uses less digits than its factorization.

1120519319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1120519319040 in words is "one trillion, one hundred twenty billion, five hundred nineteen million, three hundred nineteen thousand, forty".