39387996426240 has 1872 divisors, whose sum is σ = 175662521064576. Its totient is φ = 8070915686400.

The previous prime is 39387996426211. The next prime is 39387996426241. The reversal of 39387996426240 is 4262469978393.

39387996426240 is a `hidden beast` number, since 3 + 9 + 3 + 8 + 79 + 96 + 426 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (39387996426241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7252436325 + ... + 7252441755.

It is an arithmetic number, because the mean of its divisors is an integer number (93836816808).

Almost surely, 2^{39387996426240} is an apocalyptic number.

39387996426240 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 39387996426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87831260532288).

39387996426240 is an abundant number, since it is smaller than the sum of its proper divisors (136274524638336).

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

39387996426240 is a wasteful number, since it uses less digits than its factorization.

39387996426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 39387996426240 in words is "thirty-nine trillion, three hundred eighty-seven billion, nine hundred ninety-six million, four hundred twenty-six thousand, two hundred forty".