1129936432944 has 320 divisors, whose sum is σ = 3449310658560. Its totient is φ = 314997672960.

The previous prime is 1129936432939. The next prime is 1129936432951. The reversal of 1129936432944 is 4492346399211.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 208973889 + ... + 208979295.

It is an arithmetic number, because the mean of its divisors is an integer number (10779095808).

Almost surely, 2^{1129936432944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129936432944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724655329280).

1129936432944 is an abundant number, since it is smaller than the sum of its proper divisors (2319374225616).

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

1129936432944 is a wasteful number, since it uses less digits than its factorization.

1129936432944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6042 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 57.

The spelling of 1129936432944 in words is "one trillion, one hundred twenty-nine billion, nine hundred thirty-six million, four hundred thirty-two thousand, nine hundred forty-four".