40213563828768 has 144 divisors (see below), whose sum is σ = 125064552124512. Its totient is φ = 12155539200000.

The previous prime is 40213563828721. The next prime is 40213563828797. The reversal of 40213563828768 is 86782836531204.

40213563828768 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 3 + 563 + 8 + 2 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14557158 + ... + 17097893.

It is an arithmetic number, because the mean of its divisors is an integer number (868503834198).

Almost surely, 2^{40213563828768} is an apocalyptic number.

40213563828768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40213563828768 is an abundant number, since it is smaller than the sum of its proper divisors (84850988295744).

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

40213563828768 is a wasteful number, since it uses less digits than its factorization.

40213563828768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31655479 (or 31655468 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 40213563828768 in words is "forty trillion, two hundred thirteen billion, five hundred sixty-three million, eight hundred twenty-eight thousand, seven hundred sixty-eight".