802405440000 has 1200 divisors, whose sum is σ = 3182761790208. Its totient is φ = 201056256000.

The previous prime is 802405439947. The next prime is 802405440049. The reversal of 802405440000 is 44504208.

802405440000 is a `hidden beast` number, since 80 + 2 + 40 + 544 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1321919697 + ... + 1321920303.

Almost surely, 2^802405440000 is an apocalyptic number.

802405440000 is a gapful number since it is divisible by the number (80) 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 802405440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591380895104).

802405440000 is an abundant number, since it is smaller than the sum of its proper divisors (2380356350208).

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

802405440000 is an frugal number, since it uses more digits than its factorization.

802405440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 802405440000 its reverse (44504208), we get a palindrome (802449944208).

The spelling of 802405440000 in words is "eight hundred two billion, four hundred five million, four hundred forty thousand".