39424271040 has 1008 divisors, whose sum is σ = 174406620960. Its totient is φ = 8082063360.

The previous prime is 39424271023. The next prime is 39424271077. The reversal of 39424271040 is 4017242493.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 39424270986 and 39424271004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169202764 + ... + 169202996.

Almost surely, 2^39424271040 is an apocalyptic number.

39424271040 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 39424271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87203310480).

39424271040 is an abundant number, since it is smaller than the sum of its proper divisors (134982349920).

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

39424271040 is a wasteful number, since it uses less digits than its factorization.

39424271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 39424271040 in words is "thirty-nine billion, four hundred twenty-four million, two hundred seventy-one thousand, forty".