40082056770240 has 336 divisors, whose sum is σ = 145669301170848. Its totient is φ = 10486876667904.

The previous prime is 40082056770193. The next prime is 40082056770257. The reversal of 40082056770240 is 4207765028004.

It is a happy number.

40082056770240 is a `hidden beast` number, since 4 + 0 + 0 + 82 + 0 + 567 + 7 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741537 + ... + 8984096.

It is an arithmetic number, because the mean of its divisors is an integer number (433539586818).

Almost surely, 2^{40082056770240} is an apocalyptic number.

40082056770240 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 40082056770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72834650585424).

40082056770240 is an abundant number, since it is smaller than the sum of its proper divisors (105587244400608).

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

40082056770240 is an equidigital number, since it uses as much as digits as its factorization.

40082056770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725718 (or 9725696 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40082056770240 in words is "forty trillion, eighty-two billion, fifty-six million, seven hundred seventy thousand, two hundred forty".