40006071200 has 72 divisors (see below), whose sum is σ = 101911164768. Its totient is φ = 15306663680.

The previous prime is 40006071197. The next prime is 40006071211. The reversal of 40006071200 is 217060004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068722 + ... + 1105521.

It is an arithmetic number, because the mean of its divisors is an integer number (1415432844).

Almost surely, 2^40006071200 is an apocalyptic number.

40006071200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40006071200 is an abundant number, since it is smaller than the sum of its proper divisors (61905093568).

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

40006071200 is a wasteful number, since it uses less digits than its factorization.

40006071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174286 (or 2174273 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The spelling of 40006071200 in words is "forty billion, six million, seventy-one thousand, two hundred".