402192280800 has 720 divisors, whose sum is σ = 1504969738272. Its totient is φ = 104484556800.

The previous prime is 402192280793. The next prime is 402192280811. The reversal of 402192280800 is 8082291204.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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, 621626077 + ... + 621626723.

Almost surely, 2^402192280800 is an apocalyptic number.

402192280800 is a gapful number since it is divisible by the number (40) 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 402192280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752484869136).

402192280800 is an abundant number, since it is smaller than the sum of its proper divisors (1102777457472).

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

402192280800 is a wasteful number, since it uses less digits than its factorization.

402192280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 402192280800 in words is "four hundred two billion, one hundred ninety-two million, two hundred eighty thousand, eight hundred".