402563414040 has 128 divisors (see below), whose sum is σ = 1227227397120. Its totient is φ = 105619852800.

The previous prime is 402563414017. The next prime is 402563414087. The reversal of 402563414040 is 40414365204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 402563413992 and 402563414010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4100730 + ... + 4197750.

It is an arithmetic number, because the mean of its divisors is an integer number (9587714040).

Almost surely, 2^402563414040 is an apocalyptic number.

402563414040 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 402563414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613613698560).

402563414040 is an abundant number, since it is smaller than the sum of its proper divisors (824663983080).

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

402563414040 is a wasteful number, since it uses less digits than its factorization.

402563414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97593 (or 97589 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 402563414040 its reverse (40414365204), we get a palindrome (442977779244).

The spelling of 402563414040 in words is "four hundred two billion, five hundred sixty-three million, four hundred fourteen thousand, forty".