42007741240 has 64 divisors (see below), whose sum is σ = 95790412800. Its totient is φ = 16577129088.

The previous prime is 42007741207. The next prime is 42007741273. The reversal of 42007741240 is 4214770024.

It is an interprime number because it is at equal distance from previous prime (42007741207) and next prime (42007741273).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4567927 + ... + 4577113.

It is an arithmetic number, because the mean of its divisors is an integer number (1496725200).

Almost surely, 2^42007741240 is an apocalyptic number.

42007741240 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 42007741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47895206400).

42007741240 is an abundant number, since it is smaller than the sum of its proper divisors (53782671560).

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

42007741240 is a wasteful number, since it uses less digits than its factorization.

42007741240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The spelling of 42007741240 in words is "forty-two billion, seven million, seven hundred forty-one thousand, two hundred forty".