40342738209840 has 240 divisors, whose sum is σ = 154227259180800. Its totient is φ = 9354837803520.

The previous prime is 40342738209827. The next prime is 40342738209847. The reversal of 40342738209840 is 4890283724304.

40342738209840 is a `hidden beast` number, since 4 + 0 + 3 + 427 + 3 + 8 + 209 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (40342738209847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110552190 + ... + 110916509.

It is an arithmetic number, because the mean of its divisors is an integer number (642613579920).

Almost surely, 2^{40342738209840} is an apocalyptic number.

40342738209840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40342738209840 is an abundant number, since it is smaller than the sum of its proper divisors (113884520970960).

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

40342738209840 is a wasteful number, since it uses less digits than its factorization.

40342738209840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221468752 (or 221468743 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 40342738209840 in words is "forty trillion, three hundred forty-two billion, seven hundred thirty-eight million, two hundred nine thousand, eight hundred forty".