41435540993040 has 80 divisors (see below), whose sum is σ = 129095655504000. Its totient is φ = 10993952572416.

The previous prime is 41435540992921. The next prime is 41435540993051. The reversal of 41435540993040 is 4039904553414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433741405 + ... + 433836924.

It is an arithmetic number, because the mean of its divisors is an integer number (1613695693800).

Almost surely, 2^{41435540993040} is an apocalyptic number.

41435540993040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41435540993040 is an abundant number, since it is smaller than the sum of its proper divisors (87660114510960).

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

41435540993040 is a wasteful number, since it uses less digits than its factorization.

41435540993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867578544 (or 867578538 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 41435540993040 in words is "forty-one trillion, four hundred thirty-five billion, five hundred forty million, nine hundred ninety-three thousand, forty".