402444220240 has 80 divisors (see below), whose sum is σ = 951747834240. Its totient is φ = 158236761600.

The previous prime is 402444220183. The next prime is 402444220253. The reversal of 402444220240 is 42022444204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×402444220240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402444220199 and 402444220208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943957 + ... + 1302283.

It is an arithmetic number, because the mean of its divisors is an integer number (11896847928).

Almost surely, 2^402444220240 is an apocalyptic number.

402444220240 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 402444220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475873917120).

402444220240 is an abundant number, since it is smaller than the sum of its proper divisors (549303614000).

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

402444220240 is a wasteful number, since it uses less digits than its factorization.

402444220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358580 (or 358574 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 402444220240 its reverse (42022444204), we get a palindrome (444466664444).

The spelling of 402444220240 in words is "four hundred two billion, four hundred forty-four million, two hundred twenty thousand, two hundred forty".