40405593211776 has 320 divisors, whose sum is σ = 129687685253280. Its totient is φ = 12414098092032.

The previous prime is 40405593211771. The next prime is 40405593211801. The reversal of 40405593211776 is 67711239550404.

40405593211776 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 559 + 3 + 2 + 1 + 17 + 76 = 666.

It is a super-2 number, since 2×40405593211776² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40405593211771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91027365 + ... + 91470171.

Almost surely, 2^{40405593211776} 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 40405593211776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64843842626640).

40405593211776 is an abundant number, since it is smaller than the sum of its proper divisors (89282092041504).

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

40405593211776 is a wasteful number, since it uses less digits than its factorization.

40405593211776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443523 (or 443502 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 40405593211776 in words is "forty trillion, four hundred five billion, five hundred ninety-three million, two hundred eleven thousand, seven hundred seventy-six".