1120719075840 has 2560 divisors, whose sum is σ = 5321899376640. Its totient is φ = 216838176768.

The previous prime is 1120719075821. The next prime is 1120719075877. The reversal of 1120719075840 is 485709170211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×1120719075840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5025645969 + ... + 5025646191.

It is an arithmetic number, because the mean of its divisors is an integer number (2078866944).

Almost surely, 2^{1120719075840} is an apocalyptic number.

1120719075840 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 1120719075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660949688320).

1120719075840 is an abundant number, since it is smaller than the sum of its proper divisors (4201180300800).

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

1120719075840 is a wasteful number, since it uses less digits than its factorization.

1120719075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 1120719075840 in words is "one trillion, one hundred twenty billion, seven hundred nineteen million, seventy-five thousand, eight hundred forty".