4151533440 has 256 divisors, whose sum is σ = 14012352000. Its totient is φ = 1042587648.

The previous prime is 4151533429. The next prime is 4151533447. The reversal of 4151533440 is 443351514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4151533398 and 4151533407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4151533447) 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 31 ways as a sum of consecutive naturals, for example, 11563981 + ... + 11564339.

It is an arithmetic number, because the mean of its divisors is an integer number (54735750).

Almost surely, 2^4151533440 is an apocalyptic number.

4151533440 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 4151533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006176000).

4151533440 is an abundant number, since it is smaller than the sum of its proper divisors (9860818560).

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

4151533440 is a wasteful number, since it uses less digits than its factorization.

4151533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4151533440 is about 64432.3943370103. The cubic root of 4151533440 is about 1607.1984817601.

Adding to 4151533440 its reverse (443351514), we get a palindrome (4594884954).

The spelling of 4151533440 in words is "four billion, one hundred fifty-one million, five hundred thirty-three thousand, four hundred forty".