4338590040 has 192 divisors, whose sum is σ = 14702688000. Its totient is φ = 1150630272.

The previous prime is 4338589973. The next prime is 4338590041. The reversal of 4338590040 is 400958334.

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

It is a junction number, because it is equal to n+sod(n) for n = 4338589977 and 4338590004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338590041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933159 + ... + 1935401.

It is an arithmetic number, because the mean of its divisors is an integer number (76576500).

Almost surely, 2^4338590040 is an apocalyptic number.

4338590040 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 4338590040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344000).

4338590040 is an abundant number, since it is smaller than the sum of its proper divisors (10364097960).

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

4338590040 is a wasteful number, since it uses less digits than its factorization.

4338590040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4338590040 is about 65867.9743122559. The cubic root of 4338590040 is about 1630.9833904352.

The spelling of 4338590040 in words is "four billion, three hundred thirty-eight million, five hundred ninety thousand, forty".