40837339968100 has 81 divisors (see below), whose sum is σ = 95960035395777. Its totient is φ = 15078095710080.

The previous prime is 40837339968043. The next prime is 40837339968163. The reversal of 40837339968100 is 186993373804.

The square root of 40837339968100 is 6390410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 35831166415396 + 5006173552704 = 5985914^2 + 2237448^2 .

It is a super-2 number, since 2×40837339968100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 830728722 + ... + 830777878.

Almost surely, 2^{40837339968100} is an apocalyptic number.

40837339968100 is the 6390410-th square number.

It is an amenable number.

40837339968100 is an abundant number, since it is smaller than the sum of its proper divisors (55122695427677).

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

40837339968100 is an frugal number, since it uses more digits than its factorization.

40837339968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98354 (or 49177 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 40837339968100 in words is "forty trillion, eight hundred thirty-seven billion, three hundred thirty-nine million, nine hundred sixty-eight thousand, one hundred".