39906134470800 has 1260 divisors, whose sum is σ = 156296510758080. Its totient is φ = 9782520284160.

The previous prime is 39906134470771. The next prime is 39906134470817. The reversal of 39906134470800 is 807443160993.

It is a happy number.

39906134470800 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 61 + 34 + 470 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 12960743661 + ... + 12960746739.

It is an arithmetic number, because the mean of its divisors is an integer number (124044849808).

Almost surely, 2^{39906134470800} is an apocalyptic number.

39906134470800 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 39906134470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78148255379040).

39906134470800 is an abundant number, since it is smaller than the sum of its proper divisors (116390376287280).

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

39906134470800 is a wasteful number, since it uses less digits than its factorization.

39906134470800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 39906134470800 in words is "thirty-nine trillion, nine hundred six billion, one hundred thirty-four million, four hundred seventy thousand, eight hundred".