4138614480 has 960 divisors, whose sum is σ = 18466818048. Its totient is φ = 752209920.

The previous prime is 4138614463. The next prime is 4138614509. The reversal of 4138614480 is 844168314.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38678587 + ... + 38678693.

Almost surely, 2^4138614480 is an apocalyptic number.

4138614480 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 4138614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233409024).

4138614480 is an abundant number, since it is smaller than the sum of its proper divisors (14328203568).

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

4138614480 is a wasteful number, since it uses less digits than its factorization.

4138614480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4138614480 is about 64332.0641671010. The cubic root of 4138614480 is about 1605.5296279108.

The spelling of 4138614480 in words is "four billion, one hundred thirty-eight million, six hundred fourteen thousand, four hundred eighty".