40771221453648 has 360 divisors, whose sum is σ = 139904375651040. Its totient is φ = 11457951240960.

The previous prime is 40771221453553. The next prime is 40771221453649. The reversal of 40771221453648 is 84635412217704.

40771221453648 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 122 + 1 + 453 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40771221453594 and 40771221453603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40771221453649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9867063 + ... + 13375401.

Almost surely, 2^{40771221453648} is an apocalyptic number.

40771221453648 is a gapful number since it is divisible by the number (48) 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 40771221453648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69952187825520).

40771221453648 is an abundant number, since it is smaller than the sum of its proper divisors (99133154197392).

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

40771221453648 is a wasteful number, since it uses less digits than its factorization.

40771221453648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508437 (or 3508412 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 40771221453648 in words is "forty trillion, seven hundred seventy-one billion, two hundred twenty-one million, four hundred fifty-three thousand, six hundred forty-eight".