1041034114032 has 320 divisors, whose sum is σ = 3220863851520. Its totient is φ = 286427750400.

The previous prime is 1041034114031. The next prime is 1041034114051. The reversal of 1041034114032 is 2304114301401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1041034113993 and 1041034114011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041034114031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18394194 + ... + 18450702.

It is an arithmetic number, because the mean of its divisors is an integer number (10065199536).

Almost surely, 2^{1041034114032} is an apocalyptic number.

1041034114032 is a gapful number since it is divisible by the number (12) 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 1041034114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610431925760).

1041034114032 is an abundant number, since it is smaller than the sum of its proper divisors (2179829737488).

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

1041034114032 is a wasteful number, since it uses less digits than its factorization.

1041034114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56632 (or 56626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1041034114032 its reverse (2304114301401), we get a palindrome (3345148415433).

The spelling of 1041034114032 in words is "one trillion, forty-one billion, thirty-four million, one hundred fourteen thousand, thirty-two".