1129978974480 has 320 divisors, whose sum is σ = 3817812787200. Its totient is φ = 275376955392.

The previous prime is 1129978974451. The next prime is 1129978974493. The reversal of 1129978974480 is 844798799211.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24330321 + ... + 24376719.

It is an arithmetic number, because the mean of its divisors is an integer number (11930664960).

Almost surely, 2^{1129978974480} is an apocalyptic number.

1129978974480 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 1129978974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908906393600).

1129978974480 is an abundant number, since it is smaller than the sum of its proper divisors (2687833812720).

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

1129978974480 is a wasteful number, since it uses less digits than its factorization.

1129978974480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46606 (or 46600 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 69.

The spelling of 1129978974480 in words is "one trillion, one hundred twenty-nine billion, nine hundred seventy-eight million, nine hundred seventy-four thousand, four hundred eighty".