10140421265352 has 224 divisors, whose sum is σ = 32915189596800. Its totient is φ = 2867393405952.

The previous prime is 10140421265347. The next prime is 10140421265453. The reversal of 10140421265352 is 25356212404101.

10140421265352 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 42 + 1 + 265 + 352 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2679549 + ... + 5240307.

It is an arithmetic number, because the mean of its divisors is an integer number (146942810700).

Almost surely, 2^{10140421265352} is an apocalyptic number.

10140421265352 is a gapful number since it is divisible by the number (12) 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 10140421265352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457594798400).

10140421265352 is an abundant number, since it is smaller than the sum of its proper divisors (22774768331448).

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

10140421265352 is an equidigital number, since it uses as much as digits as its factorization.

10140421265352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560887 (or 2560868 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10140421265352 its reverse (25356212404101), we get a palindrome (35496633669453).

The spelling of 10140421265352 in words is "ten trillion, one hundred forty billion, four hundred twenty-one million, two hundred sixty-five thousand, three hundred fifty-two".