402220034040 has 256 divisors, whose sum is σ = 1365435118080. Its totient is φ = 93934632960.

The previous prime is 402220033993. The next prime is 402220034057. The reversal of 402220034040 is 40430022204.

It is a junction number, because it is equal to n+sod(n) for n = 402220033998 and 402220034016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4094944 + ... + 4192016.

It is an arithmetic number, because the mean of its divisors is an integer number (5333730930).

Almost surely, 2^402220034040 is an apocalyptic number.

402220034040 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 402220034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682717559040).

402220034040 is an abundant number, since it is smaller than the sum of its proper divisors (963215084040).

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

402220034040 is a wasteful number, since it uses less digits than its factorization.

402220034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97214 (or 97210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 402220034040 its reverse (40430022204), we get a palindrome (442650056244).

The spelling of 402220034040 in words is "four hundred two billion, two hundred twenty million, thirty-four thousand, forty".