42201455035340 has 144 divisors (see below), whose sum is σ = 91743652465920. Its totient is φ = 16305536701440.

The previous prime is 42201455035273. The next prime is 42201455035393. The reversal of 42201455035340 is 4353055410224.

It is a junction number, because it is equal to n+sod(n) for n = 42201455035294 and 42201455035303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008151446 + ... + 3008165474.

It is an arithmetic number, because the mean of its divisors is an integer number (637108697680).

Almost surely, 2^{42201455035340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42201455035340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45871826232960).

42201455035340 is an abundant number, since it is smaller than the sum of its proper divisors (49542197430580).

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

42201455035340 is a wasteful number, since it uses less digits than its factorization.

42201455035340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14900 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 42201455035340 in words is "forty-two trillion, two hundred one billion, four hundred fifty-five million, thirty-five thousand, three hundred forty".