10041744814080 has 416 divisors, whose sum is σ = 36743443097088. Its totient is φ = 2293766553600.

The previous prime is 10041744814051. The next prime is 10041744814091. The reversal of 10041744814080 is 8041844714001.

It is a super-2 number, since 2×10041744814080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748762575 + ... + 748775985.

It is an arithmetic number, because the mean of its divisors is an integer number (88325584368).

Almost surely, 2^{10041744814080} is an apocalyptic number.

10041744814080 is a gapful number since it is divisible by the number (10) 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 10041744814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371721548544).

10041744814080 is an abundant number, since it is smaller than the sum of its proper divisors (26701698283008).

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

10041744814080 is a wasteful number, since it uses less digits than its factorization.

10041744814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15191 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 10041744814080 in words is "ten trillion, forty-one billion, seven hundred forty-four million, eight hundred fourteen thousand, eighty".