40132273778424 has 320 divisors, whose sum is σ = 115232450493600. Its totient is φ = 13045781016576.

The previous prime is 40132273778419. The next prime is 40132273778477. The reversal of 40132273778424 is 42487737223104.

40132273778424 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 227 + 377 + 8 + 42 + 4 = 666.

It is a super-2 number, since 2×40132273778424² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2218591972 + ... + 2218610060.

Almost surely, 2^{40132273778424} 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 40132273778424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57616225246800).

40132273778424 is an abundant number, since it is smaller than the sum of its proper divisors (75100176715176).

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

40132273778424 is a wasteful number, since it uses less digits than its factorization.

40132273778424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 40132273778424 in words is "forty trillion, one hundred thirty-two billion, two hundred seventy-three million, seven hundred seventy-eight thousand, four hundred twenty-four".