39280040640 has 896 divisors, whose sum is σ = 155667456000. Its totient is φ = 9280438272.

The previous prime is 39280040617. The next prime is 39280040647. The reversal of 39280040640 is 4604008293.

It is a happy number.

39280040640 is a `hidden beast` number, since 3 + 9 + 2 + 8 + 0 + 0 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39280040595 and 39280040604.

It is not an unprimeable number, because it can be changed into a prime (39280040647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176143569 + ... + 176143791.

It is an arithmetic number, because the mean of its divisors is an integer number (173736000).

Almost surely, 2^39280040640 is an apocalyptic number.

39280040640 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 39280040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728000).

39280040640 is an abundant number, since it is smaller than the sum of its proper divisors (116387415360).

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

39280040640 is a wasteful number, since it uses less digits than its factorization.

39280040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 39280040640 in words is "thirty-nine billion, two hundred eighty million, forty thousand, six hundred forty".