40506152148 has 216 divisors, whose sum is σ = 129308064704. Its totient is φ = 10465044480.

The previous prime is 40506152147. The next prime is 40506152207. The reversal of 40506152148 is 84125160504.

It is a happy number.

40506152148 is a `hidden beast` number, since 4 + 0 + 506 + 1 + 5 + 2 + 148 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40506152147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5881515 + ... + 5888397.

Almost surely, 2^40506152148 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 40506152148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64654032352).

40506152148 is an abundant number, since it is smaller than the sum of its proper divisors (88801912556).

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

40506152148 is a wasteful number, since it uses less digits than its factorization.

40506152148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40506152148 in words is "forty billion, five hundred six million, one hundred fifty-two thousand, one hundred forty-eight".