1129678126740 has 168 divisors, whose sum is σ = 3596827830120. Its totient is φ = 297862354944.

The previous prime is 1129678126697. The next prime is 1129678126883. The reversal of 1129678126740 is 476218769211.

1129678126740 is a `hidden beast` number, since 11 + 296 + 7 + 81 + 267 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97621253136 + 1032056873604 = 312444^2 + 1015902^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 862332 + ... + 1732908.

It is an arithmetic number, because the mean of its divisors is an integer number (21409689465).

Almost surely, 2^{1129678126740} is an apocalyptic number.

1129678126740 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 1129678126740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798413915060).

1129678126740 is an abundant number, since it is smaller than the sum of its proper divisors (2467149703380).

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

1129678126740 is an equidigital number, since it uses as much as digits as its factorization.

1129678126740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870693 (or 870676 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1129678126740 in words is "one trillion, one hundred twenty-nine billion, six hundred seventy-eight million, one hundred twenty-six thousand, seven hundred forty".