38842824426240 has 144 divisors (see below), whose sum is σ = 124123712848128. Its totient is φ = 10352288329728.

The previous prime is 38842824426221. The next prime is 38842824426271. The reversal of 38842824426240 is 4262442824883.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4031829 + ... + 9692331.

It is an arithmetic number, because the mean of its divisors is an integer number (861970228112).

Almost surely, 2^{38842824426240} is an apocalyptic number.

38842824426240 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 38842824426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62061856424064).

38842824426240 is an abundant number, since it is smaller than the sum of its proper divisors (85280888421888).

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

38842824426240 is a wasteful number, since it uses less digits than its factorization.

38842824426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662314 (or 5662300 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 57.

The spelling of 38842824426240 in words is "thirty-eight trillion, eight hundred forty-two billion, eight hundred twenty-four million, four hundred twenty-six thousand, two hundred forty".