260424028045440 has 768 divisors, whose sum is σ = 1082549115648000. Its totient is φ = 57605301411840.

The previous prime is 260424028045271. The next prime is 260424028045463. The reversal of 260424028045440 is 44540820424062.

260424028045440 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 24 + 0 + 2 + 80 + 4 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59120034 + ... + 63372126.

It is an arithmetic number, because the mean of its divisors is an integer number (1409569161000).

Almost surely, 2^{260424028045440} is an apocalyptic number.

260424028045440 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 260424028045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541274557824000).

260424028045440 is an abundant number, since it is smaller than the sum of its proper divisors (822125087602560).

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

260424028045440 is a wasteful number, since it uses less digits than its factorization.

260424028045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252170 (or 4252141 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 260424028045440 in words is "two hundred sixty trillion, four hundred twenty-four billion, twenty-eight million, forty-five thousand, four hundred forty".