40484181024 has 504 divisors, whose sum is σ = 140733473328. Its totient is φ = 11424188160.

The previous prime is 40484181019. The next prime is 40484181061. The reversal of 40484181024 is 42018148404.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40484181024.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 122308539 + ... + 122308869.

It is an arithmetic number, because the mean of its divisors is an integer number (279233082).

Almost surely, 2^40484181024 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 40484181024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70366736664).

40484181024 is an abundant number, since it is smaller than the sum of its proper divisors (100249292304).

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

40484181024 is a wasteful number, since it uses less digits than its factorization.

40484181024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40484181024 in words is "forty billion, four hundred eighty-four million, one hundred eighty-one thousand, twenty-four".