10124948030400 has 1176 divisors, whose sum is σ = 44937185086080. Its totient is φ = 2192436357120.

The previous prime is 10124948030399. The next prime is 10124948030429. The reversal of 10124948030400 is 403084942101.

It is a happy number.

10124948030400 is a `hidden beast` number, since 1 + 0 + 1 + 249 + 4 + 8 + 0 + 3 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155098567 + ... + 155163833.

It is an arithmetic number, because the mean of its divisors is an integer number (38211892080).

Almost surely, 2^{10124948030400} is an apocalyptic number.

10124948030400 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 10124948030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468592543040).

10124948030400 is an abundant number, since it is smaller than the sum of its proper divisors (34812237055680).

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

10124948030400 is an equidigital number, since it uses as much as digits as its factorization.

10124948030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65333 (or 65303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10124948030400 in words is "ten trillion, one hundred twenty-four billion, nine hundred forty-eight million, thirty thousand, four hundred".