202613451040 has 576 divisors, whose sum is σ = 674483023872. Its totient is φ = 55746662400.

The previous prime is 202613450989. The next prime is 202613451097. The reversal of 202613451040 is 40154316202.

202613451040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47885725 + ... + 47889955.

It is an arithmetic number, because the mean of its divisors is an integer number (1170977472).

Almost surely, 2^202613451040 is an apocalyptic number.

202613451040 is a gapful number since it is divisible by the number (20) 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 202613451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337241511936).

202613451040 is an abundant number, since it is smaller than the sum of its proper divisors (471869572832).

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

202613451040 is a wasteful number, since it uses less digits than its factorization.

202613451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 202613451040 its reverse (40154316202), we get a palindrome (242767767242).

The spelling of 202613451040 in words is "two hundred two billion, six hundred thirteen million, four hundred fifty-one thousand, forty".