39906701621760 has 640 divisors, whose sum is σ = 130441016597760. Its totient is φ = 10406278987776.

The previous prime is 39906701621753. The next prime is 39906701621783. The reversal of 39906701621760 is 6712610760993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 39906701621760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26202692359 + ... + 26202693881.

It is an arithmetic number, because the mean of its divisors is an integer number (203814088434).

Almost surely, 2^{39906701621760} is an apocalyptic number.

39906701621760 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 39906701621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65220508298880).

39906701621760 is an abundant number, since it is smaller than the sum of its proper divisors (90534314976000).

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

39906701621760 is a wasteful number, since it uses less digits than its factorization.

39906701621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 39906701621760 in words is "thirty-nine trillion, nine hundred six billion, seven hundred one million, six hundred twenty-one thousand, seven hundred sixty".