1010281912640 has 448 divisors, whose sum is σ = 3291076293120. Its totient is φ = 285181378560.

The previous prime is 1010281912631. The next prime is 1010281912663. The reversal of 1010281912640 is 462191820101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1010281912640³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1010281912640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16947206 + ... + 17006714.

It is an arithmetic number, because the mean of its divisors is an integer number (7346152440).

Almost surely, 2^{1010281912640} is an apocalyptic number.

1010281912640 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 1010281912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645538146560).

1010281912640 is an abundant number, since it is smaller than the sum of its proper divisors (2280794380480).

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

1010281912640 is a wasteful number, since it uses less digits than its factorization.

1010281912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59610 (or 59600 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 1010281912640 in words is "one trillion, ten billion, two hundred eighty-one million, nine hundred twelve thousand, six hundred forty".