40759266240 has 1344 divisors, whose sum is σ = 185630515200. Its totient is φ = 8196249600.

The previous prime is 40759266221. The next prime is 40759266263. The reversal of 40759266240 is 4266295704.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×40759266240² (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 191 ways as a sum of consecutive naturals, for example, 1314815025 + ... + 1314815055.

Almost surely, 2^40759266240 is an apocalyptic number.

40759266240 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 40759266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92815257600).

40759266240 is an abundant number, since it is smaller than the sum of its proper divisors (144871248960).

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

40759266240 is a wasteful number, since it uses less digits than its factorization.

40759266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40759266240 in words is "forty billion, seven hundred fifty-nine million, two hundred sixty-six thousand, two hundred forty".