1129077411840 has 832 divisors, whose sum is σ = 4681844544000. Its totient is φ = 258031484928.

The previous prime is 1129077411827. The next prime is 1129077411851. The reversal of 1129077411840 is 481147709211.

1129077411840 is a `hidden beast` number, since 1 + 1 + 2 + 90 + 77 + 411 + 84 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 189662304 + ... + 189668256.

It is an arithmetic number, because the mean of its divisors is an integer number (5627217000).

Almost surely, 2^{1129077411840} is an apocalyptic number.

1129077411840 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 1129077411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340922272000).

1129077411840 is an abundant number, since it is smaller than the sum of its proper divisors (3552767132160).

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

1129077411840 is an frugal number, since it uses more digits than its factorization.

1129077411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 1129077411840 in words is "one trillion, one hundred twenty-nine billion, seventy-seven million, four hundred eleven thousand, eight hundred forty".