402205040640 has 1344 divisors, whose sum is σ = 1623002209920. Its totient is φ = 91351941120.

The previous prime is 402205040579. The next prime is 402205040647. The reversal of 402205040640 is 46040502204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402205040647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4519157716 + ... + 4519157804.

It is an arithmetic number, because the mean of its divisors is an integer number (1207590930).

Almost surely, 2^402205040640 is an apocalyptic number.

402205040640 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 402205040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811501104960).

402205040640 is an abundant number, since it is smaller than the sum of its proper divisors (1220797169280).

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

402205040640 is a wasteful number, since it uses less digits than its factorization.

402205040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 402205040640 its reverse (46040502204), we get a palindrome (448245542844).

The spelling of 402205040640 in words is "four hundred two billion, two hundred five million, forty thousand, six hundred forty".