4202633741240 has 128 divisors (see below), whose sum is σ = 10512889171200. Its totient is φ = 1499106938880.

The previous prime is 4202633741237. The next prime is 4202633741249. The reversal of 4202633741240 is 421473362024.

4202633741240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4202633741194 and 4202633741203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202633741249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11949992 + ... + 12296648.

It is an arithmetic number, because the mean of its divisors is an integer number (82131946650).

Almost surely, 2^{4202633741240} is an apocalyptic number.

4202633741240 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 4202633741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256444585600).

4202633741240 is an abundant number, since it is smaller than the sum of its proper divisors (6310255429960).

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

4202633741240 is a wasteful number, since it uses less digits than its factorization.

4202633741240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347205 (or 347201 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 4202633741240 in words is "four trillion, two hundred two billion, six hundred thirty-three million, seven hundred forty-one thousand, two hundred forty".