39913661399040 has 2280 divisors, whose sum is σ = 170096989930560. Its totient is φ = 8894357176320.

The previous prime is 39913661398969. The next prime is 39913661399081. The reversal of 39913661399040 is 4099316631993.

39913661399040 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 3 + 6 + 613 + 9 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×39913661399040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 167002767241 + ... + 167002767479.

It is an arithmetic number, because the mean of its divisors is an integer number (74603942952).

Almost surely, 2^{39913661399040} is an apocalyptic number.

39913661399040 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 39913661399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85048494965280).

39913661399040 is an abundant number, since it is smaller than the sum of its proper divisors (130183328531520).

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

39913661399040 is an equidigital number, since it uses as much as digits as its factorization.

39913661399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 39913661399040 in words is "thirty-nine trillion, nine hundred thirteen billion, six hundred sixty-one million, three hundred ninety-nine thousand, forty".