4152415344 has 320 divisors, whose sum is σ = 14570496000. Its totient is φ = 986065920.

The previous prime is 4152415321. The next prime is 4152415369. The reversal of 4152415344 is 4435142514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2035477 + ... + 2037515.

It is an arithmetic number, because the mean of its divisors is an integer number (45532800).

Almost surely, 2^4152415344 is an apocalyptic number.

4152415344 is a gapful number since it is divisible by the number (44) 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 4152415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285248000).

4152415344 is an abundant number, since it is smaller than the sum of its proper divisors (10418080656).

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

4152415344 is a wasteful number, since it uses less digits than its factorization.

4152415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 4152415344 is about 64439.2376118774. The cubic root of 4152415344 is about 1607.3122786207.

Adding to 4152415344 its reverse (4435142514), we get a palindrome (8587557858).

The spelling of 4152415344 in words is "four billion, one hundred fifty-two million, four hundred fifteen thousand, three hundred forty-four".