1041768279552 has 1280 divisors, whose sum is σ = 3943907573760. Its totient is φ = 235516723200.

The previous prime is 1041768279551. The next prime is 1041768279581. The reversal of 1041768279552 is 2559728671401.

It is a super-3 number, since 3×1041768279552³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1041768279492 and 1041768279501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041768279551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3147336027 + ... + 3147336357.

It is an arithmetic number, because the mean of its divisors is an integer number (3081177792).

Almost surely, 2^{1041768279552} is an apocalyptic number.

1041768279552 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 1041768279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971953786880).

1041768279552 is an abundant number, since it is smaller than the sum of its proper divisors (2902139294208).

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

1041768279552 is a wasteful number, since it uses less digits than its factorization.

1041768279552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 1041768279552 in words is "one trillion, forty-one billion, seven hundred sixty-eight million, two hundred seventy-nine thousand, five hundred fifty-two".