42620202240 has 1152 divisors, whose sum is σ = 183948226560. Its totient is φ = 8139571200.

The previous prime is 42620202217. The next prime is 42620202271. The reversal of 42620202240 is 4220202624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42620202240.

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, 306620091 + ... + 306620229.

It is an arithmetic number, because the mean of its divisors is an integer number (159677280).

Almost surely, 2^42620202240 is an apocalyptic number.

42620202240 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 42620202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91974113280).

42620202240 is an abundant number, since it is smaller than the sum of its proper divisors (141328024320).

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

42620202240 is a wasteful number, since it uses less digits than its factorization.

42620202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42620202240 its reverse (4220202624), we get a palindrome (46840404864).

The spelling of 42620202240 in words is "forty-two billion, six hundred twenty million, two hundred two thousand, two hundred forty".