40070368856160 has 288 divisors, whose sum is σ = 137967402710592. Its totient is φ = 10589908008960.

The previous prime is 40070368856153. The next prime is 40070368856179. The reversal of 40070368856160 is 6165886307004.

40070368856160 is a `hidden beast` number, since 4 + 0 + 0 + 70 + 3 + 6 + 8 + 8 + 561 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40070368856097 and 40070368856106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80794540 + ... + 81288980.

It is an arithmetic number, because the mean of its divisors is an integer number (479053481634).

Almost surely, 2^{40070368856160} is an apocalyptic number.

40070368856160 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 40070368856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68983701355296).

40070368856160 is an abundant number, since it is smaller than the sum of its proper divisors (97897033854432).

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

40070368856160 is a wasteful number, since it uses less digits than its factorization.

40070368856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494966 (or 494955 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40070368856160 in words is "forty trillion, seventy billion, three hundred sixty-eight million, eight hundred fifty-six thousand, one hundred sixty".