1120978338480 has 1920 divisors, whose sum is σ = 5489648640000. Its totient is φ = 203599319040.

The previous prime is 1120978338439. The next prime is 1120978338503. The reversal of 1120978338480 is 848338790211.

It is a happy number.

1120978338480 is a `hidden beast` number, since 1 + 1 + 20 + 97 + 83 + 384 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 534052471 + ... + 534054569.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192000).

Almost surely, 2^{1120978338480} is an apocalyptic number.

1120978338480 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 1120978338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744824320000).

1120978338480 is an abundant number, since it is smaller than the sum of its proper divisors (4368670301520).

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

1120978338480 is a wasteful number, since it uses less digits than its factorization.

1120978338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1120978338480 in words is "one trillion, one hundred twenty billion, nine hundred seventy-eight million, three hundred thirty-eight thousand, four hundred eighty".