39949805427840 has 2304 divisors, whose sum is σ = 184224306389760. Its totient is φ = 7744801996800.

The previous prime is 39949805427821. The next prime is 39949805427859. The reversal of 39949805427840 is 4872450894993.

39949805427840 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 9 + 8 + 0 + 542 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (39949805427821) and next prime (39949805427859).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9619503204 + ... + 9619507356.

It is an arithmetic number, because the mean of its divisors is an integer number (79958466315).

Almost surely, 2^{39949805427840} is an apocalyptic number.

39949805427840 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 39949805427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92112153194880).

39949805427840 is an abundant number, since it is smaller than the sum of its proper divisors (144274500961920).

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

39949805427840 is a wasteful number, since it uses less digits than its factorization.

39949805427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 39949805427840 in words is "thirty-nine trillion, nine hundred forty-nine billion, eight hundred five million, four hundred twenty-seven thousand, eight hundred forty".