40084295012352 has 832 divisors, whose sum is σ = 126482082693120. Its totient is φ = 12524411289600.

The previous prime is 40084295012351. The next prime is 40084295012357. The reversal of 40084295012352 is 25321059248004.

40084295012352 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 4 + 295 + 0 + 1 + 2 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40084295012298 and 40084295012307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084295012351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18722229202 + ... + 18722231342.

Almost surely, 2^{40084295012352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40084295012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63241041346560).

40084295012352 is an abundant number, since it is smaller than the sum of its proper divisors (86397787680768).

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

40084295012352 is a wasteful number, since it uses less digits than its factorization.

40084295012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40084295012352 in words is "forty trillion, eighty-four billion, two hundred ninety-five million, twelve thousand, three hundred fifty-two".