42914029440 has 128 divisors (see below), whose sum is σ = 137273558400. Its totient is φ = 11403159552.

The previous prime is 42914029439. The next prime is 42914029469. The reversal of 42914029440 is 4492041924.

42914029440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42914029440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503871 + ... + 582849.

It is an arithmetic number, because the mean of its divisors is an integer number (1072449675).

Almost surely, 2^42914029440 is an apocalyptic number.

42914029440 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 42914029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68636779200).

42914029440 is an abundant number, since it is smaller than the sum of its proper divisors (94359528960).

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

42914029440 is a wasteful number, since it uses less digits than its factorization.

42914029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79284 (or 79272 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 42914029440 in words is "forty-two billion, nine hundred fourteen million, twenty-nine thousand, four hundred forty".