40267124352 has 960 divisors, whose sum is σ = 153583848000. Its totient is φ = 10461394944.

The previous prime is 40267124333. The next prime is 40267124357. The reversal of 40267124352 is 25342176204.

40267124352 is a `hidden beast` number, since 40 + 267 + 1 + 2 + 4 + 352 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40267124357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 601001823 + ... + 601001889.

It is an arithmetic number, because the mean of its divisors is an integer number (159983175).

Almost surely, 2^40267124352 is an apocalyptic number.

40267124352 is a gapful number since it is divisible by the number (42) 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 40267124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76791924000).

40267124352 is an abundant number, since it is smaller than the sum of its proper divisors (113316723648).

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

40267124352 is an equidigital number, since it uses as much as digits as its factorization.

40267124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40267124352 in words is "forty billion, two hundred sixty-seven million, one hundred twenty-four thousand, three hundred fifty-two".