10306641041532 has 144 divisors (see below), whose sum is σ = 28933554633984. Its totient is φ = 3067429248000.

The previous prime is 10306641041507. The next prime is 10306641041549. The reversal of 10306641041532 is 23514014660301.

10306641041532 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 641 + 0 + 4 + 1 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4007857 + ... + 6056087.

It is an arithmetic number, because the mean of its divisors is an integer number (200927462736).

Almost surely, 2^{10306641041532} is an apocalyptic number.

10306641041532 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 10306641041532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466777316992).

10306641041532 is an abundant number, since it is smaller than the sum of its proper divisors (18626913592452).

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

10306641041532 is a wasteful number, since it uses less digits than its factorization.

10306641041532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048480 (or 2048475 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10306641041532 in words is "ten trillion, three hundred six billion, six hundred forty-one million, forty-one thousand, five hundred thirty-two".