4003042223400 has 384 divisors, whose sum is σ = 13641588311040. Its totient is φ = 962991360000.

The previous prime is 4003042223363. The next prime is 4003042223407. The reversal of 4003042223400 is 43222403004.

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

It is not an unprimeable number, because it can be changed into a prime (4003042223407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1428126399 + ... + 1428129201.

It is an arithmetic number, because the mean of its divisors is an integer number (35524969560).

Almost surely, 2^{4003042223400} is an apocalyptic number.

4003042223400 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 4003042223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820794155520).

4003042223400 is an abundant number, since it is smaller than the sum of its proper divisors (9638546087640).

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

4003042223400 is a wasteful number, since it uses less digits than its factorization.

4003042223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4003042223400 its reverse (43222403004), we get a palindrome (4046264626404).

The spelling of 4003042223400 in words is "four trillion, three billion, forty-two million, two hundred twenty-three thousand, four hundred".