802045411200 has 1152 divisors, whose sum is σ = 3318102627840. Its totient is φ = 189609984000.

The previous prime is 802045411187. The next prime is 802045411213. The reversal of 802045411200 is 2114540208.

802045411200 is a `hidden beast` number, since 8 + 0 + 2 + 0 + 45 + 411 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (802045411187) and next prime (802045411213).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350696457 + ... + 350698743.

It is an arithmetic number, because the mean of its divisors is an integer number (2880297420).

Almost surely, 2^802045411200 is an apocalyptic number.

802045411200 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 802045411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659051313920).

802045411200 is an abundant number, since it is smaller than the sum of its proper divisors (2516057216640).

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

802045411200 is a wasteful number, since it uses less digits than its factorization.

802045411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 802045411200 its reverse (2114540208), we get a palindrome (804159951408).

The spelling of 802045411200 in words is "eight hundred two billion, forty-five million, four hundred eleven thousand, two hundred".