406280636320 has 384 divisors, whose sum is σ = 1121353632000. Its totient is φ = 137757130752.

The previous prime is 406280636317. The next prime is 406280636323. The reversal of 406280636320 is 23636082604.

It is an interprime number because it is at equal distance from previous prime (406280636317) and next prime (406280636323).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (406280636323) 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, 310849107 + ... + 310850413.

It is an arithmetic number, because the mean of its divisors is an integer number (2920191750).

Almost surely, 2^406280636320 is an apocalyptic number.

406280636320 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 406280636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560676816000).

406280636320 is an abundant number, since it is smaller than the sum of its proper divisors (715072995680).

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

406280636320 is a wasteful number, since it uses less digits than its factorization.

406280636320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 406280636320 in words is "four hundred six billion, two hundred eighty million, six hundred thirty-six thousand, three hundred twenty".