1040429033280 has 2688 divisors, whose sum is σ = 5003438791680. Its totient is φ = 199941488640.

The previous prime is 1040429033279. The next prime is 1040429033309. The reversal of 1040429033280 is 823309240401.

1040429033280 is a `hidden beast` number, since 1 + 0 + 40 + 4 + 290 + 3 + 328 + 0 = 666.

1040429033280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1040429033280³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33562226865 + ... + 33562226895.

It is an arithmetic number, because the mean of its divisors is an integer number (1861398360).

Almost surely, 2^{1040429033280} is an apocalyptic number.

1040429033280 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 1040429033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501719395840).

1040429033280 is an abundant number, since it is smaller than the sum of its proper divisors (3963009758400).

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

1040429033280 is an equidigital number, since it uses as much as digits as its factorization.

1040429033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1040429033280 in words is "one trillion, forty billion, four hundred twenty-nine million, thirty-three thousand, two hundred eighty".