10212300241440 has 192 divisors, whose sum is σ = 35271318741120. Its totient is φ = 2463141847040.

The previous prime is 10212300241397. The next prime is 10212300241447. The reversal of 10212300241440 is 4414200321201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10212300241440.

It is not an unprimeable number, because it can be changed into a prime (10212300241447) 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 31 ways as a sum of consecutive naturals, for example, 3868845 + ... + 5949164.

It is an arithmetic number, because the mean of its divisors is an integer number (183704785110).

Almost surely, 2^{10212300241440} is an apocalyptic number.

10212300241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212300241440 is an abundant number, since it is smaller than the sum of its proper divisors (25059018499680).

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

10212300241440 is a wasteful number, since it uses less digits than its factorization.

10212300241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818235 (or 9818227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10212300241440 its reverse (4414200321201), we get a palindrome (14626500562641).

The spelling of 10212300241440 in words is "ten trillion, two hundred twelve billion, three hundred million, two hundred forty-one thousand, four hundred forty".