4010224531400 has 384 divisors, whose sum is σ = 9892938240000. Its totient is φ = 1510317219840.

The previous prime is 4010224531387. The next prime is 4010224531409. The reversal of 4010224531400 is 41354220104.

It is a self number, because there is not a number n which added to its sum of digits gives 4010224531400.

It is not an unprimeable number, because it can be changed into a prime (4010224531409) 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, 6606629897 + ... + 6606630503.

It is an arithmetic number, because the mean of its divisors is an integer number (25762860000).

Almost surely, 2^{4010224531400} is an apocalyptic number.

4010224531400 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 4010224531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946469120000).

4010224531400 is an abundant number, since it is smaller than the sum of its proper divisors (5882713708600).

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

4010224531400 is a wasteful number, since it uses less digits than its factorization.

4010224531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 4010224531400 its reverse (41354220104), we get a palindrome (4051578751504).

The spelling of 4010224531400 in words is "four trillion, ten billion, two hundred twenty-four million, five hundred thirty-one thousand, four hundred".