39970476000 has 1536 divisors, whose sum is σ = 184923648000. Its totient is φ = 8331724800.

The previous prime is 39970475971. The next prime is 39970476017. The reversal of 39970476000 is 67407993.

39970476000 is a `hidden beast` number, since 39 + 9 + 7 + 0 + 4 + 7 + 600 + 0 = 666.

39970476000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481571959 + ... + 481572041.

It is an arithmetic number, because the mean of its divisors is an integer number (120393000).

Almost surely, 2^39970476000 is an apocalyptic number.

39970476000 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 39970476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824000).

39970476000 is an abundant number, since it is smaller than the sum of its proper divisors (144953172000).

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

39970476000 is a wasteful number, since it uses less digits than its factorization.

39970476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 39970476000 in words is "thirty-nine billion, nine hundred seventy million, four hundred seventy-six thousand".