40006434600 has 960 divisors, whose sum is σ = 162561738240. Its totient is φ = 9021196800.

The previous prime is 40006434581. The next prime is 40006434631. The reversal of 40006434600 is 643460004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176239687 + ... + 176239913.

It is an arithmetic number, because the mean of its divisors is an integer number (169335144).

Almost surely, 2^40006434600 is an apocalyptic number.

40006434600 is a gapful number since it is divisible by the number (40) 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 40006434600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280869120).

40006434600 is an abundant number, since it is smaller than the sum of its proper divisors (122555303640).

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

40006434600 is a wasteful number, since it uses less digits than its factorization.

40006434600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40006434600 its reverse (643460004), we get a palindrome (40649894604).

The spelling of 40006434600 in words is "forty billion, six million, four hundred thirty-four thousand, six hundred".