42214733440 has 128 divisors (see below), whose sum is σ = 110412486720. Its totient is φ = 15306424320.

The previous prime is 42214733437. The next prime is 42214733467. The reversal of 42214733440 is 4433741224.

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

It is a junction number, because it is equal to n+sod(n) for n = 42214733396 and 42214733405.

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, 2476627 + ... + 2493613.

Almost surely, 2^42214733440 is an apocalyptic number.

42214733440 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 42214733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55206243360).

42214733440 is an abundant number, since it is smaller than the sum of its proper divisors (68197753280).

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

42214733440 is a wasteful number, since it uses less digits than its factorization.

42214733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17370 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 42214733440 in words is "forty-two billion, two hundred fourteen million, seven hundred thirty-three thousand, four hundred forty".