40544713440 has 576 divisors, whose sum is σ = 173416868352. Its totient is φ = 8380108800.

The previous prime is 40544713423. The next prime is 40544713457. The reversal of 40544713440 is 4431744504.

40544713440 is a `hidden beast` number, since 4 + 0 + 544 + 71 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40544713423) and next prime (40544713457).

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 = 40544713395 and 40544713404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23394814 + ... + 23396546.

It is an arithmetic number, because the mean of its divisors is an integer number (301070952).

Almost surely, 2^40544713440 is an apocalyptic number.

40544713440 is a gapful number since it is divisible by the number (40) 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 40544713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86708434176).

40544713440 is an abundant number, since it is smaller than the sum of its proper divisors (132872154912).

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

40544713440 is a wasteful number, since it uses less digits than its factorization.

40544713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40544713440 in words is "forty billion, five hundred forty-four million, seven hundred thirteen thousand, four hundred forty".