4435672121400 has 576 divisors, whose sum is σ = 15265512007200. Its totient is φ = 1064642641920.

The previous prime is 4435672121297. The next prime is 4435672121443. The reversal of 4435672121400 is 41212765344.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 658792434 + ... + 658799166.

Almost surely, 2^{4435672121400} is an apocalyptic number.

4435672121400 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 4435672121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632756003600).

4435672121400 is an abundant number, since it is smaller than the sum of its proper divisors (10829839885800).

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

4435672121400 is a wasteful number, since it uses less digits than its factorization.

4435672121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 4435672121400 its reverse (41212765344), we get a palindrome (4476884886744).

The spelling of 4435672121400 in words is "four trillion, four hundred thirty-five billion, six hundred seventy-two million, one hundred twenty-one thousand, four hundred".