39981675371040 has 768 divisors, whose sum is σ = 161210248496640. Its totient is φ = 9167209758720.

The previous prime is 39981675371021. The next prime is 39981675371047. The reversal of 39981675371040 is 4017357618993.

39981675371040 is a `hidden beast` number, since 3 + 9 + 9 + 81 + 6 + 7 + 537 + 10 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (39981675371047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92391975 + ... + 92823705.

It is an arithmetic number, because the mean of its divisors is an integer number (209909177730).

Almost surely, 2^{39981675371040} is an apocalyptic number.

39981675371040 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 39981675371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80605124248320).

39981675371040 is an abundant number, since it is smaller than the sum of its proper divisors (121228573125600).

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

39981675371040 is a wasteful number, since it uses less digits than its factorization.

39981675371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431882 (or 431868 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 39981675371040 in words is "thirty-nine trillion, nine hundred eighty-one billion, six hundred seventy-five million, three hundred seventy-one thousand, forty".