402444240000 has 320 divisors, whose sum is σ = 1457260152480. Its totient is φ = 97561600000.

The previous prime is 402444239983. The next prime is 402444240041. The reversal of 402444240000 is 42444204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×402444240000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2563780 + ... + 2716220.

Almost surely, 2^402444240000 is an apocalyptic number.

402444240000 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 402444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728630076240).

402444240000 is an abundant number, since it is smaller than the sum of its proper divisors (1054815912480).

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

402444240000 is a wasteful number, since it uses less digits than its factorization.

402444240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152489 (or 152462 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 402444240000 its reverse (42444204), we get a palindrome (402486684204).

The spelling of 402444240000 in words is "four hundred two billion, four hundred forty-four million, two hundred forty thousand".