40201484029056 has 512 divisors, whose sum is σ = 138156732172800. Its totient is φ = 11271189823488.

The previous prime is 40201484029013. The next prime is 40201484029073. The reversal of 40201484029056 is 65092048410204.

It is a happy number.

It is a super-2 number, since 2×40201484029056² (a number of 28 digits) contains 22 as substring.

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, 347847376 + ... + 347962928.

It is an arithmetic number, because the mean of its divisors is an integer number (269837367525).

Almost surely, 2^{40201484029056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40201484029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69078366086400).

40201484029056 is an abundant number, since it is smaller than the sum of its proper divisors (97955248143744).

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

40201484029056 is a wasteful number, since it uses less digits than its factorization.

40201484029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115853 (or 115835 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40201484029056 in words is "forty trillion, two hundred one billion, four hundred eighty-four million, twenty-nine thousand, fifty-six".