4334252241400 has 72 divisors (see below), whose sum is σ = 10704778321320. Its totient is φ = 1631718469120.

The previous prime is 4334252241391. The next prime is 4334252241419. The reversal of 4334252241400 is 41422524334.

4334252241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37435732 + ... + 37551331.

It is an arithmetic number, because the mean of its divisors is an integer number (148677476685).

Almost surely, 2^{4334252241400} is an apocalyptic number.

4334252241400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334252241400 is an abundant number, since it is smaller than the sum of its proper divisors (6370526079920).

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

4334252241400 is a wasteful number, since it uses less digits than its factorization.

4334252241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74987113 (or 74987087 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 4334252241400 its reverse (41422524334), we get a palindrome (4375674765734).

The spelling of 4334252241400 in words is "four trillion, three hundred thirty-four billion, two hundred fifty-two million, two hundred forty-one thousand, four hundred".