250224100001440 has 192 divisors, whose sum is σ = 631139083545600. Its totient is φ = 93471383199744.

The previous prime is 250224100001431. The next prime is 250224100001471. The reversal of 250224100001440 is 44100001422052.

It is a super-2 number, since 2×250224100001440² (a number of 30 digits) contains 22 as substring.

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, 404250906 + ... + 404869414.

It is an arithmetic number, because the mean of its divisors is an integer number (3287182726800).

Almost surely, 2^{250224100001440} is an apocalyptic number.

250224100001440 is a gapful number since it is divisible by the number (20) 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 250224100001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315569541772800).

250224100001440 is an abundant number, since it is smaller than the sum of its proper divisors (380914983544160).

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

250224100001440 is a wasteful number, since it uses less digits than its factorization.

250224100001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620439 (or 620431 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 250224100001440 its reverse (44100001422052), we get a palindrome (294324101423492).

The spelling of 250224100001440 in words is "two hundred fifty trillion, two hundred twenty-four billion, one hundred million, one thousand, four hundred forty".