40254316344 has 192 divisors, whose sum is σ = 121248822240. Its totient is φ = 11963105280.

The previous prime is 40254316301. The next prime is 40254316357. The reversal of 40254316344 is 44361345204.

40254316344 is a `hidden beast` number, since 402 + 54 + 3 + 163 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40254316299 and 40254316308.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8678794 + ... + 8683430.

Almost surely, 2^40254316344 is an apocalyptic number.

40254316344 is a gapful number since it is divisible by the number (44) 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 40254316344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624411120).

40254316344 is an abundant number, since it is smaller than the sum of its proper divisors (80994505896).

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

40254316344 is a wasteful number, since it uses less digits than its factorization.

40254316344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 40254316344 in words is "forty billion, two hundred fifty-four million, three hundred sixteen thousand, three hundred forty-four".