10281672714240 has 960 divisors, whose sum is σ = 38038794393600. Its totient is φ = 2654802542592.

The previous prime is 10281672714233. The next prime is 10281672714251. The reversal of 10281672714240 is 4241727618201.

10281672714240 is a `hidden beast` number, since 1 + 0 + 2 + 81 + 67 + 271 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3781415601 + ... + 3781418319.

It is an arithmetic number, because the mean of its divisors is an integer number (39623744160).

Almost surely, 2^{10281672714240} is an apocalyptic number.

10281672714240 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 10281672714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019397196800).

10281672714240 is an abundant number, since it is smaller than the sum of its proper divisors (27757121679360).

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

10281672714240 is an equidigital number, since it uses as much as digits as its factorization.

10281672714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10281672714240 in words is "ten trillion, two hundred eighty-one billion, six hundred seventy-two million, seven hundred fourteen thousand, two hundred forty".