280220142079440 has 320 divisors, whose sum is σ = 980010784224000. Its totient is φ = 73582258692096.

The previous prime is 280220142079421. The next prime is 280220142079447. The reversal of 280220142079440 is 44970241022082.

280220142079440 is a `hidden beast` number, since 2 + 80 + 2 + 20 + 1 + 42 + 0 + 79 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280220142079447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95848411 + ... + 98728709.

It is an arithmetic number, because the mean of its divisors is an integer number (3062533700700).

Almost surely, 2^{280220142079440} is an apocalyptic number.

280220142079440 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 280220142079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490005392112000).

280220142079440 is an abundant number, since it is smaller than the sum of its proper divisors (699790642144560).

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

280220142079440 is a wasteful number, since it uses less digits than its factorization.

280220142079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881011 (or 2880999 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 280220142079440 in words is "two hundred eighty trillion, two hundred twenty billion, one hundred forty-two million, seventy-nine thousand, four hundred forty".