40755496320 has 768 divisors, whose sum is σ = 179624839680. Its totient is φ = 8267857920.

The previous prime is 40755496319. The next prime is 40755496343. The reversal of 40755496320 is 2369455704.

40755496320 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 5 + 4 + 9 + 632 + 0 = 666.

It is a super-2 number, since 2×40755496320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19070292 + ... + 19072428.

It is an arithmetic number, because the mean of its divisors is an integer number (233886510).

Almost surely, 2^40755496320 is an apocalyptic number.

40755496320 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 40755496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812419840).

40755496320 is an abundant number, since it is smaller than the sum of its proper divisors (138869343360).

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

40755496320 is a wasteful number, since it uses less digits than its factorization.

40755496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 40755496320 in words is "forty billion, seven hundred fifty-five million, four hundred ninety-six thousand, three hundred twenty".