1040423167728 has 240 divisors, whose sum is σ = 3433782456000. Its totient is φ = 293922478080.

The previous prime is 1040423167687. The next prime is 1040423167733. The reversal of 1040423167728 is 8277613240401.

1040423167728 is a `hidden beast` number, since 1 + 0 + 40 + 423 + 167 + 7 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4277548 + ... + 4514228.

It is an arithmetic number, because the mean of its divisors is an integer number (14307426900).

Almost surely, 2^{1040423167728} is an apocalyptic number.

1040423167728 is a gapful number since it is divisible by the number (18) 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 1040423167728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716891228000).

1040423167728 is an abundant number, since it is smaller than the sum of its proper divisors (2393359288272).

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

1040423167728 is a wasteful number, since it uses less digits than its factorization.

1040423167728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236805 (or 236782 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1040423167728 in words is "one trillion, forty billion, four hundred twenty-three million, one hundred sixty-seven thousand, seven hundred twenty-eight".