4202012040240 has 240 divisors, whose sum is σ = 15154617542400. Its totient is φ = 960355468800.

The previous prime is 4202012040199. The next prime is 4202012040253. The reversal of 4202012040240 is 420402102024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175811811 + ... + 175835709.

It is an arithmetic number, because the mean of its divisors is an integer number (63144239760).

Almost surely, 2^{4202012040240} is an apocalyptic number.

4202012040240 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 4202012040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577308771200).

4202012040240 is an abundant number, since it is smaller than the sum of its proper divisors (10952605502160).

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

4202012040240 is a wasteful number, since it uses less digits than its factorization.

4202012040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38880 (or 38867 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 4202012040240 its reverse (420402102024), we get a palindrome (4622414142264).

The spelling of 4202012040240 in words is "four trillion, two hundred two billion, twelve million, forty thousand, two hundred forty".