42721910440 has 72 divisors (see below), whose sum is σ = 105692861610. Its totient is φ = 15530011200.

The previous prime is 42721910431. The next prime is 42721910467. The reversal of 42721910440 is 4401912724.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38449719396 + 4272191044 = 196086^2 + 65362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42721910396 and 42721910405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14378155 + ... + 14381125.

Almost surely, 2^42721910440 is an apocalyptic number.

42721910440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721910440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52846430805).

42721910440 is an abundant number, since it is smaller than the sum of its proper divisors (62970951170).

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

42721910440 is an equidigital number, since it uses as much as digits as its factorization.

42721910440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 42721910440 in words is "forty-two billion, seven hundred twenty-one million, nine hundred ten thousand, four hundred forty".