4134150440 has 128 divisors (see below), whose sum is σ = 11362602240. Its totient is φ = 1321414656.

The previous prime is 4134150439. The next prime is 4134150451. The reversal of 4134150440 is 440514314.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505262 + ... + 513378.

It is an arithmetic number, because the mean of its divisors is an integer number (88770330).

Almost surely, 2^4134150440 is an apocalyptic number.

4134150440 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 4134150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681301120).

4134150440 is an abundant number, since it is smaller than the sum of its proper divisors (7228451800).

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

4134150440 is a wasteful number, since it uses less digits than its factorization.

4134150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8255 counting only the distinct ones).

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

The square root of 4134150440 is about 64297.3595103251. The cubic root of 4134150440 is about 1604.9521619525.

Adding to 4134150440 its reverse (440514314), we get a palindrome (4574664754).

The spelling of 4134150440 in words is "four billion, one hundred thirty-four million, one hundred fifty thousand, four hundred forty".