42440212430040 has 512 divisors, whose sum is σ = 138797556791040. Its totient is φ = 10339378790400.

The previous prime is 42440212429987. The next prime is 42440212430087. The reversal of 42440212430040 is 4003421204424.

It is a super-2 number, since 2×42440212430040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15972980392 + ... + 15972983048.

Almost surely, 2^{42440212430040} is an apocalyptic number.

42440212430040 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 42440212430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69398778395520).

42440212430040 is an abundant number, since it is smaller than the sum of its proper divisors (96357344361000).

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

42440212430040 is a wasteful number, since it uses less digits than its factorization.

42440212430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42440212430040 its reverse (4003421204424), we get a palindrome (46443633634464).

The spelling of 42440212430040 in words is "forty-two trillion, four hundred forty billion, two hundred twelve million, four hundred thirty thousand, forty".