38441840640 has 468 divisors, whose sum is σ = 144357725304. Its totient is φ = 8708947968.

The previous prime is 38441840627. The next prime is 38441840651. The reversal of 38441840640 is 4604814483.

It is a super-2 number, since 2×38441840640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38441840592 and 38441840601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340193224 + ... + 340193336.

It is an arithmetic number, because the mean of its divisors is an integer number (308456678).

Almost surely, 2^38441840640 is an apocalyptic number.

38441840640 is a gapful number since it is divisible by the number (30) 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 38441840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72178862652).

38441840640 is an abundant number, since it is smaller than the sum of its proper divisors (105915884664).

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

38441840640 is an equidigital number, since it uses as much as digits as its factorization.

38441840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 38441840640 in words is "thirty-eight billion, four hundred forty-one million, eight hundred forty thousand, six hundred forty".