4002224402400 has 288 divisors, whose sum is σ = 15671869436160. Its totient is φ = 866647019520.

The previous prime is 4002224402387. The next prime is 4002224402443. The reversal of 4002224402400 is 42044222004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5949949 + ... + 6588348.

It is an arithmetic number, because the mean of its divisors is an integer number (54416213320).

Almost surely, 2^{4002224402400} is an apocalyptic number.

4002224402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002224402400 is an abundant number, since it is smaller than the sum of its proper divisors (11669645033760).

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

4002224402400 is a wasteful number, since it uses less digits than its factorization.

4002224402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12538346 (or 12538333 counting only the distinct ones).

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

Adding to 4002224402400 its reverse (42044222004), we get a palindrome (4044268624404).

The spelling of 4002224402400 in words is "four trillion, two billion, two hundred twenty-four million, four hundred two thousand, four hundred".