402200013024 has 144 divisors (see below), whose sum is σ = 1194212152224. Its totient is φ = 128159539200.

The previous prime is 402200013011. The next prime is 402200013037. The reversal of 402200013024 is 420310002204.

402200013024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (402200013011) and next prime (402200013037).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402200012988 and 402200013006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11382264 + ... + 11417544.

It is an arithmetic number, because the mean of its divisors is an integer number (8293139946).

Almost surely, 2^402200013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402200013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597106076112).

402200013024 is an abundant number, since it is smaller than the sum of its proper divisors (792012139200).

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

402200013024 is a wasteful number, since it uses less digits than its factorization.

402200013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37041 (or 37030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 402200013024 its reverse (420310002204), we get a palindrome (822510015228).

The spelling of 402200013024 in words is "four hundred two billion, two hundred million, thirteen thousand, twenty-four".