42157212240 has 480 divisors, whose sum is σ = 157010486400. Its totient is φ = 9273139200.

The previous prime is 42157212203. The next prime is 42157212281. The reversal of 42157212240 is 4221275124.

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

It is a junction number, because it is equal to n+sod(n) for n = 42157212198 and 42157212207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27214986 + ... + 27216534.

It is an arithmetic number, because the mean of its divisors is an integer number (327105180).

Almost surely, 2^42157212240 is an apocalyptic number.

42157212240 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 42157212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78505243200).

42157212240 is an abundant number, since it is smaller than the sum of its proper divisors (114853274160).

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

42157212240 is a wasteful number, since it uses less digits than its factorization.

42157212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 42157212240 its reverse (4221275124), we get a palindrome (46378487364).

The spelling of 42157212240 in words is "forty-two billion, one hundred fifty-seven million, two hundred twelve thousand, two hundred forty".