1033034411142 has 64 divisors (see below), whose sum is σ = 2374804561920. Its totient is φ = 332516923200.

The previous prime is 1033034411131. The next prime is 1033034411153. The reversal of 1033034411142 is 2411144303301.

1033034411142 is a `hidden beast` number, since 103 + 3 + 0 + 3 + 4 + 411 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (1033034411131) and next prime (1033034411153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108642 + ... + 1441482.

It is an arithmetic number, because the mean of its divisors is an integer number (37106321280).

Almost surely, 2^{1033034411142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033034411142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187402280960).

1033034411142 is an abundant number, since it is smaller than the sum of its proper divisors (1341770150778).

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

1033034411142 is a wasteful number, since it uses less digits than its factorization.

1033034411142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333346 (or 1333340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1033034411142 its reverse (2411144303301), we get a palindrome (3444178714443).

The spelling of 1033034411142 in words is "one trillion, thirty-three billion, thirty-four million, four hundred eleven thousand, one hundred forty-two".