10251241402024 has 128 divisors (see below), whose sum is σ = 22700242897920. Its totient is φ = 4249110528000.

The previous prime is 10251241402009. The next prime is 10251241402067. The reversal of 10251241402024 is 42020414215201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10251241401983 and 10251241402001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138461464 + ... + 138535480.

It is an arithmetic number, because the mean of its divisors is an integer number (177345647640).

Almost surely, 2^{10251241402024} is an apocalyptic number.

10251241402024 is a gapful number since it is divisible by the number (14) 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 10251241402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350121448960).

10251241402024 is an abundant number, since it is smaller than the sum of its proper divisors (12449001495896).

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

10251241402024 is a wasteful number, since it uses less digits than its factorization.

10251241402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74699 (or 74695 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 10251241402024 its reverse (42020414215201), we get a palindrome (52271655617225).

The spelling of 10251241402024 in words is "ten trillion, two hundred fifty-one billion, two hundred forty-one million, four hundred two thousand, twenty-four".