40005548766720 has 640 divisors, whose sum is σ = 146962410946560. Its totient is φ = 10304630784000.

The previous prime is 40005548766671. The next prime is 40005548766773. The reversal of 40005548766720 is 2766784550004.

It is a happy number.

40005548766720 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 5 + 548 + 76 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×40005548766720² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1159194265 + ... + 1159228775.

It is an arithmetic number, because the mean of its divisors is an integer number (229628767104).

Almost surely, 2^{40005548766720} is an apocalyptic number.

40005548766720 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 40005548766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73481205473280).

40005548766720 is an abundant number, since it is smaller than the sum of its proper divisors (106956862179840).

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

40005548766720 is a wasteful number, since it uses less digits than its factorization.

40005548766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35115 (or 35093 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 40005548766720 in words is "forty trillion, five billion, five hundred forty-eight million, seven hundred sixty-six thousand, seven hundred twenty".