42721337505440 has 96 divisors (see below), whose sum is σ = 110229235736256. Its totient is φ = 15517437788160.

The previous prime is 42721337505389. The next prime is 42721337505443. The reversal of 42721337505440 is 4450573312724.

42721337505440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42721337505440² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42721337505443) 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 15 ways as a sum of consecutive naturals, for example, 12190817 + ... + 15298976.

It is an arithmetic number, because the mean of its divisors is an integer number (1148221205586).

Almost surely, 2^{42721337505440} is an apocalyptic number.

42721337505440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42721337505440 is an abundant number, since it is smaller than the sum of its proper divisors (67507898230816).

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

42721337505440 is a wasteful number, since it uses less digits than its factorization.

42721337505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27490702 (or 27490694 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 47.

The spelling of 42721337505440 in words is "forty-two trillion, seven hundred twenty-one billion, three hundred thirty-seven million, five hundred five thousand, four hundred forty".