1033431141040 has 80 divisors (see below), whose sum is σ = 2545289144640. Its totient is φ = 388869120000.

The previous prime is 1033431141031. The next prime is 1033431141079. The reversal of 1033431141040 is 401411343301.

It is a happy number.

1033431141040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1033431140996 and 1033431141014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2659165 + ... + 3022915.

It is an arithmetic number, because the mean of its divisors is an integer number (31816114308).

Almost surely, 2^{1033431141040} is an apocalyptic number.

1033431141040 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 1033431141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272644572320).

1033431141040 is an abundant number, since it is smaller than the sum of its proper divisors (1511858003600).

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

1033431141040 is a wasteful number, since it uses less digits than its factorization.

1033431141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365870 (or 365864 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1033431141040 its reverse (401411343301), we get a palindrome (1434842484341).

The spelling of 1033431141040 in words is "one trillion, thirty-three billion, four hundred thirty-one million, one hundred forty-one thousand, forty".