40700004105600 has 288 divisors, whose sum is σ = 165973648517040. Its totient is φ = 9302858035200.

The previous prime is 40700004105581. The next prime is 40700004105601. The reversal of 40700004105600 is 650140000704.

40700004105600 is a `hidden beast` number, since 40 + 7 + 0 + 0 + 0 + 0 + 4 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40700004105601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100740871 + ... + 101144070.

Almost surely, 2^{40700004105600} is an apocalyptic number.

40700004105600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40700004105600 is an abundant number, since it is smaller than the sum of its proper divisors (125273644411440).

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

40700004105600 is a wasteful number, since it uses less digits than its factorization.

40700004105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201884978 (or 201884958 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 40700004105600 in words is "forty trillion, seven hundred billion, four million, one hundred five thousand, six hundred".