42212610440 has 192 divisors, whose sum is σ = 128225669760. Its totient is φ = 12144936960.

The previous prime is 42212610437. The next prime is 42212610449. The reversal of 42212610440 is 4401621224.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (42212610449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479972 + ... + 561068.

It is an arithmetic number, because the mean of its divisors is an integer number (667842030).

Almost surely, 2^42212610440 is an apocalyptic number.

42212610440 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 42212610440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64112834880).

42212610440 is an abundant number, since it is smaller than the sum of its proper divisors (86013059320).

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

42212610440 is a wasteful number, since it uses less digits than its factorization.

42212610440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81152 (or 81135 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 42212610440 in words is "forty-two billion, two hundred twelve million, six hundred ten thousand, four hundred forty".