13723743456040 has 32 divisors (see below), whose sum is σ = 32503602924000. Its totient is φ = 5200576467264.

The previous prime is 13723743455941. The next prime is 13723743456041. The reversal of 13723743456040 is 4065434732731.

It is a happy number.

It is a super-2 number, since 2×13723743456040² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13723743456041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9028777830 + ... + 9028779349.

It is an arithmetic number, because the mean of its divisors is an integer number (1015737591375).

Almost surely, 2^{13723743456040} is an apocalyptic number.

13723743456040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13723743456040 is an abundant number, since it is smaller than the sum of its proper divisors (18779859467960).

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

13723743456040 is a wasteful number, since it uses less digits than its factorization.

13723743456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057557209 (or 18057557205 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 13723743456040 in words is "thirteen trillion, seven hundred twenty-three billion, seven hundred forty-three million, four hundred fifty-six thousand, forty".