280195340040 has 1536 divisors, whose sum is σ = 1242169344000. Its totient is φ = 53038540800.

The previous prime is 280195339997. The next prime is 280195340071. The reversal of 280195340040 is 40043591082.

280195340040 is a `hidden beast` number, since 2 + 80 + 1 + 9 + 534 + 0 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 280195339977 and 280195340004.

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 383 ways as a sum of consecutive naturals, for example, 2206262457 + ... + 2206262583.

It is an arithmetic number, because the mean of its divisors is an integer number (808704000).

Almost surely, 2^280195340040 is an apocalyptic number.

280195340040 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 280195340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621084672000).

280195340040 is an abundant number, since it is smaller than the sum of its proper divisors (961974003960).

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

280195340040 is a wasteful number, since it uses less digits than its factorization.

280195340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 280195340040 in words is "two hundred eighty billion, one hundred ninety-five million, three hundred forty thousand, forty".