40016351635760 has 80 divisors (see below), whose sum is σ = 94080698449920. Its totient is φ = 15828072288000.

The previous prime is 40016351635753. The next prime is 40016351635829. The reversal of 40016351635760 is 6753615361004.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4377392 + ... + 9959631.

It is an arithmetic number, because the mean of its divisors is an integer number (1176008730624).

Almost surely, 2^{40016351635760} is an apocalyptic number.

40016351635760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40016351635760 is an abundant number, since it is smaller than the sum of its proper divisors (54064346814160).

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

40016351635760 is a wasteful number, since it uses less digits than its factorization.

40016351635760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14337426 (or 14337420 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 47.

Adding to 40016351635760 its reverse (6753615361004), we get a palindrome (46769966996764).

The spelling of 40016351635760 in words is "forty trillion, sixteen billion, three hundred fifty-one million, six hundred thirty-five thousand, seven hundred sixty".