40169765472000 has 288 divisors, whose sum is σ = 133733581922304. Its totient is φ = 10687072768000.

The previous prime is 40169765471999. The next prime is 40169765472059. The reversal of 40169765472000 is 27456796104.

It is a happy number.

It is a super-2 number, since 2×40169765472000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40890577 + ... + 41861423.

It is an arithmetic number, because the mean of its divisors is an integer number (464352715008).

Almost surely, 2^{40169765472000} is an apocalyptic number.

40169765472000 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 40169765472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66866790961152).

40169765472000 is an abundant number, since it is smaller than the sum of its proper divisors (93563816450304).

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

40169765472000 is an equidigital number, since it uses as much as digits as its factorization.

40169765472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971312 (or 971288 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 40169765472000 in words is "forty trillion, one hundred sixty-nine billion, seven hundred sixty-five million, four hundred seventy-two thousand".