38781959320440 has 960 divisors, whose sum is σ = 156265033256640. Its totient is φ = 8596214968320.

The previous prime is 38781959320369. The next prime is 38781959320469. The reversal of 38781959320440 is 4402395918783.

38781959320440 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 19 + 593 + 20 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1087011882 + ... + 1087047558.

It is an arithmetic number, because the mean of its divisors is an integer number (162776076309).

Almost surely, 2^{38781959320440} is an apocalyptic number.

38781959320440 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 38781959320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78132516628320).

38781959320440 is an abundant number, since it is smaller than the sum of its proper divisors (117483073936200).

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

38781959320440 is a wasteful number, since it uses less digits than its factorization.

38781959320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35922 (or 35902 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38781959320440 in words is "thirty-eight trillion, seven hundred eighty-one billion, nine hundred fifty-nine million, three hundred twenty thousand, four hundred forty".