40756243968 has 480 divisors, whose sum is σ = 136734998400. Its totient is φ = 11556864000.

The previous prime is 40756243943. The next prime is 40756243991. The reversal of 40756243968 is 86934265704.

40756243968 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 624 + 3 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×40756243968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97270063 + ... + 97270481.

It is an arithmetic number, because the mean of its divisors is an integer number (284864580).

Almost surely, 2^40756243968 is an apocalyptic number.

40756243968 is a gapful number since it is divisible by the number (48) 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 40756243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68367499200).

40756243968 is an abundant number, since it is smaller than the sum of its proper divisors (95978754432).

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

40756243968 is a wasteful number, since it uses less digits than its factorization.

40756243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 40756243968 in words is "forty billion, seven hundred fifty-six million, two hundred forty-three thousand, nine hundred sixty-eight".