39945603600 has 540 divisors, whose sum is σ = 167246889264. Its totient is φ = 9129335040.

The previous prime is 39945603587. The next prime is 39945603617. The reversal of 39945603600 is 630654993.

It is a happy number.

39945603600 is a `hidden beast` number, since 39 + 9 + 4 + 5 + 6 + 0 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4758607 + ... + 4766993.

Almost surely, 2^39945603600 is an apocalyptic number.

39945603600 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 39945603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83623444632).

39945603600 is an abundant number, since it is smaller than the sum of its proper divisors (127301285664).

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

39945603600 is a wasteful number, since it uses less digits than its factorization.

39945603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

It can be divided in two parts, 39945 and 603600, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 39945603600 in words is "thirty-nine billion, nine hundred forty-five million, six hundred three thousand, six hundred".