1121945040 has 160 divisors (see below), whose sum is σ = 3997958400. Its totient is φ = 288852480.

The previous prime is 1121945029. The next prime is 1121945059. The reversal of 1121945040 is 405491211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1121944995 and 1121945013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53685 + ... + 71595.

It is an arithmetic number, because the mean of its divisors is an integer number (24987240).

Almost surely, 2^1121945040 is an apocalyptic number.

1121945040 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 1121945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998979200).

1121945040 is an abundant number, since it is smaller than the sum of its proper divisors (2876013360).

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

1121945040 is a wasteful number, since it uses less digits than its factorization.

1121945040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1121945040 is about 33495.4480489514. The cubic root of 1121945040 is about 1039.0996398875.

The spelling of 1121945040 in words is "one billion, one hundred twenty-one million, nine hundred forty-five thousand, forty".