10403124131400 has 1536 divisors, whose sum is σ = 44853129216000. Its totient is φ = 1924300800000.

The previous prime is 10403124131383. The next prime is 10403124131401. The reversal of 10403124131400 is 413142130401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10403124131401) 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 383 ways as a sum of consecutive naturals, for example, 6497890600 + ... + 6497892200.

It is an arithmetic number, because the mean of its divisors is an integer number (29201256000).

Almost surely, 2^{10403124131400} is an apocalyptic number.

10403124131400 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 10403124131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426564608000).

10403124131400 is an abundant number, since it is smaller than the sum of its proper divisors (34450005084600).

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

10403124131400 is a wasteful number, since it uses less digits than its factorization.

10403124131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10403124131400 its reverse (413142130401), we get a palindrome (10816266261801).

The spelling of 10403124131400 in words is "ten trillion, four hundred three billion, one hundred twenty-four million, one hundred thirty-one thousand, four hundred".