40258109952 has 240 divisors, whose sum is σ = 120648528000. Its totient is φ = 12907732992.

The previous prime is 40258109933. The next prime is 40258109959. The reversal of 40258109952 is 25990185204.

It is a happy number.

40258109952 is a `hidden beast` number, since 402 + 58 + 109 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40258109898 and 40258109907.

It is not an unprimeable number, because it can be changed into a prime (40258109959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55991449 + ... + 55992167.

It is an arithmetic number, because the mean of its divisors is an integer number (502702200).

Almost surely, 2^40258109952 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 40258109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324264000).

40258109952 is an abundant number, since it is smaller than the sum of its proper divisors (80390418048).

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

40258109952 is a wasteful number, since it uses less digits than its factorization.

40258109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 40258109952 in words is "forty billion, two hundred fifty-eight million, one hundred nine thousand, nine hundred fifty-two".