40027721674752 has 1040 divisors, whose sum is σ = 144479562824960. Its totient is φ = 10831668903936.

The previous prime is 40027721674697. The next prime is 40027721674769. The reversal of 40027721674752 is 25747612772004.

It is a happy number.

40027721674752 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 7 + 7 + 2 + 167 + 475 + 2 = 666.

It is a super-2 number, since 2×40027721674752² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10722666678 + ... + 10722670410.

Almost surely, 2^{40027721674752} is an apocalyptic number.

40027721674752 is a gapful number since it is divisible by the number (42) 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 40027721674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72239781412480).

40027721674752 is an abundant number, since it is smaller than the sum of its proper divisors (104451841150208).

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

40027721674752 is an frugal number, since it uses more digits than its factorization.

40027721674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 40027721674752 in words is "forty trillion, twenty-seven billion, seven hundred twenty-one million, six hundred seventy-four thousand, seven hundred fifty-two".