39955627576480 has 384 divisors, whose sum is σ = 119728627200000. Its totient is φ = 12237872455680.

The previous prime is 39955627576463. The next prime is 39955627576481. The reversal of 39955627576480 is 8467572655993.

It is a junction number, because it is equal to n+sod(n) for n = 39955627576397 and 39955627576406.

It is not an unprimeable number, because it can be changed into a prime (39955627576481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2179903956 + ... + 2179922284.

It is an arithmetic number, because the mean of its divisors is an integer number (311793300000).

Almost surely, 2^{39955627576480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39955627576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59864313600000).

39955627576480 is an abundant number, since it is smaller than the sum of its proper divisors (79772999623520).

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

39955627576480 is a wasteful number, since it uses less digits than its factorization.

39955627576480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21420 (or 21412 counting only the distinct ones).

The product of its (nonzero) digits is 3429216000, while the sum is 76.

The spelling of 39955627576480 in words is "thirty-nine trillion, nine hundred fifty-five billion, six hundred twenty-seven million, five hundred seventy-six thousand, four hundred eighty".