10124401543040 has 64 divisors (see below), whose sum is σ = 24276770748720. Its totient is φ = 4037525606400.

The previous prime is 10124401542973. The next prime is 10124401543049. The reversal of 10124401543040 is 4034510442101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10124401542994 and 10124401543012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124401543049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23684501 + ... + 24108180.

Almost surely, 2^{10124401543040} is an apocalyptic number.

10124401543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124401543040 is an abundant number, since it is smaller than the sum of its proper divisors (14152369205680).

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

10124401543040 is an equidigital number, since it uses as much as digits as its factorization.

10124401543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47793031 (or 47793019 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 10124401543040 its reverse (4034510442101), we get a palindrome (14158911985141).

The spelling of 10124401543040 in words is "ten trillion, one hundred twenty-four billion, four hundred one million, five hundred forty-three thousand, forty".