1041936150528 has 468 divisors, whose sum is σ = 3770441213448. Its totient is φ = 274790154240.

The previous prime is 1041936150527. The next prime is 1041936150553. The reversal of 1041936150528 is 8250516391401.

It is a happy number.

1041936150528 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 3 + 615 + 0 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041936150527) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 23460183 + ... + 23504553.

Almost surely, 2^{1041936150528} is an apocalyptic number.

1041936150528 is a gapful number since it is divisible by the number (18) 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 1041936150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885220606724).

1041936150528 is an abundant number, since it is smaller than the sum of its proper divisors (2728505062920).

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

1041936150528 is a wasteful number, since it uses less digits than its factorization.

1041936150528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44428 (or 44396 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 1041936 and 150528, that added together give a square (1192464 = 1092²).

The spelling of 1041936150528 in words is "one trillion, forty-one billion, nine hundred thirty-six million, one hundred fifty thousand, five hundred twenty-eight".