10041588988704 has 1152 divisors, whose sum is σ = 38481730560000. Its totient is φ = 2409886162944.

The previous prime is 10041588988703. The next prime is 10041588988817. The reversal of 10041588988704 is 40788988514001.

10041588988704 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 588 + 9 + 8 + 8 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×10041588988704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10041588988703) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1455510247 + ... + 1455517145.

It is an arithmetic number, because the mean of its divisors is an integer number (33404280000).

Almost surely, 2^{10041588988704} is an apocalyptic number.

10041588988704 is a gapful number since it is divisible by the number (14) 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 10041588988704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240865280000).

10041588988704 is an abundant number, since it is smaller than the sum of its proper divisors (28440141571296).

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

10041588988704 is a wasteful number, since it uses less digits than its factorization.

10041588988704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 10041588988704 in words is "ten trillion, forty-one billion, five hundred eighty-eight million, nine hundred eighty-eight thousand, seven hundred four".