40672730112000 has 3584 divisors, whose sum is σ = 175428505534464. Its totient is φ = 8153726976000.

The previous prime is 40672730111999. The next prime is 40672730112029. The reversal of 40672730112000 is 21103727604.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-4 number, since 4×40672730112000⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 419306495952 + ... + 419306496048.

It is an arithmetic number, because the mean of its divisors is an integer number (48947685696).

Almost surely, 2^{40672730112000} is an apocalyptic number.

40672730112000 is a gapful number since it is divisible by the number (40) 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 40672730112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87714252767232).

40672730112000 is an abundant number, since it is smaller than the sum of its proper divisors (134755775422464).

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

40672730112000 is a wasteful number, since it uses less digits than its factorization.

40672730112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 40672730112000 its reverse (21103727604), we get a palindrome (40693833839604).

The spelling of 40672730112000 in words is "forty trillion, six hundred seventy-two billion, seven hundred thirty million, one hundred twelve thousand".