10024041341140 has 24 divisors (see below), whose sum is σ = 21062920725000. Its totient is φ = 4007248172928.

The previous prime is 10024041341107. The next prime is 10024041341147. The reversal of 10024041341140 is 4114314042001.

10024041341140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1350792519696 + 8673248821444 = 1162236^2 + 2945038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024041341147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147988015 + ... + 148055734.

It is an arithmetic number, because the mean of its divisors is an integer number (877621696875).

Almost surely, 2^{10024041341140} is an apocalyptic number.

10024041341140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024041341140 is an abundant number, since it is smaller than the sum of its proper divisors (11038879383860).

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

10024041341140 is a wasteful number, since it uses less digits than its factorization.

10024041341140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296045451 (or 296045449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10024041341140 its reverse (4114314042001), we get a palindrome (14138355383141).

The spelling of 10024041341140 in words is "ten trillion, twenty-four billion, forty-one million, three hundred forty-one thousand, one hundred forty".