10284725114640 has 240 divisors, whose sum is σ = 35060363659776. Its totient is φ = 2701249689600.

The previous prime is 10284725114633. The next prime is 10284725114731. The reversal of 10284725114640 is 4641152748201.

10284725114640 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 72 + 511 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10284725114640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 445774305 + ... + 445797375.

Almost surely, 2^{10284725114640} is an apocalyptic number.

10284725114640 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 10284725114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530181829888).

10284725114640 is an abundant number, since it is smaller than the sum of its proper divisors (24775638545136).

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

10284725114640 is a wasteful number, since it uses less digits than its factorization.

10284725114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32398 (or 32389 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10284725114640 in words is "ten trillion, two hundred eighty-four billion, seven hundred twenty-five million, one hundred fourteen thousand, six hundred forty".