40671444452320 has 768 divisors, whose sum is σ = 117562303272960. Its totient is φ = 13114323763200.

The previous prime is 40671444452279. The next prime is 40671444452333. The reversal of 40671444452320 is 2325444417604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23360966650 + ... + 23360968390.

It is an arithmetic number, because the mean of its divisors is an integer number (153075915720).

Almost surely, 2^{40671444452320} is an apocalyptic number.

40671444452320 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 40671444452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58781151636480).

40671444452320 is an abundant number, since it is smaller than the sum of its proper divisors (76890858820640).

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

40671444452320 is a wasteful number, since it uses less digits than its factorization.

40671444452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 46.

Adding to 40671444452320 its reverse (2325444417604), we get a palindrome (42996888869924).

The spelling of 40671444452320 in words is "forty trillion, six hundred seventy-one billion, four hundred forty-four million, four hundred fifty-two thousand, three hundred twenty".