281079040640 has 128 divisors (see below), whose sum is σ = 686823217920. Its totient is φ = 109947801600.

The previous prime is 281079040639. The next prime is 281079040679. The reversal of 281079040640 is 46040970182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×281079040640³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44605490 + ... + 44611790.

It is an arithmetic number, because the mean of its divisors is an integer number (5365806390).

Almost surely, 2^281079040640 is an apocalyptic number.

281079040640 is a gapful number since it is divisible by the number (20) 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 281079040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343411608960).

281079040640 is an abundant number, since it is smaller than the sum of its proper divisors (405744177280).

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

281079040640 is a wasteful number, since it uses less digits than its factorization.

281079040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 281079040640 in words is "two hundred eighty-one billion, seventy-nine million, forty thousand, six hundred forty".