40958347680 has 96 divisors (see below), whose sum is σ = 143354232000. Its totient is φ = 10922224896.

The previous prime is 40958347669. The next prime is 40958347681. The reversal of 40958347680 is 8674385904.

40958347680 is a `hidden beast` number, since 4 + 0 + 95 + 8 + 3 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40958347680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40958347681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4736230 + ... + 4744869.

It is an arithmetic number, because the mean of its divisors is an integer number (1493273250).

Almost surely, 2^40958347680 is an apocalyptic number.

40958347680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40958347680 is an abundant number, since it is smaller than the sum of its proper divisors (102395884320).

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

40958347680 is a wasteful number, since it uses less digits than its factorization.

40958347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481123 (or 9481109 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40958347680 in words is "forty billion, nine hundred fifty-eight million, three hundred forty-seven thousand, six hundred eighty".