4138019424 has 864 divisors, whose sum is σ = 16671432960. Its totient is φ = 958003200.

The previous prime is 4138019411. The next prime is 4138019437. The reversal of 4138019424 is 4249108314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4138019411) and next prime (4138019437).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67836354 + ... + 67836414.

It is an arithmetic number, because the mean of its divisors is an integer number (19295640).

Almost surely, 2^4138019424 is an apocalyptic number.

4138019424 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 4138019424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335716480).

4138019424 is an abundant number, since it is smaller than the sum of its proper divisors (12533413536).

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

4138019424 is a wasteful number, since it uses less digits than its factorization.

4138019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4138019424 is about 64327.4391220418. The cubic root of 4138019424 is about 1605.4526757621.

The spelling of 4138019424 in words is "four billion, one hundred thirty-eight million, nineteen thousand, four hundred twenty-four".