40513313200 has 120 divisors (see below), whose sum is σ = 105068052000. Its totient is φ = 14966138880.

The previous prime is 40513313161. The next prime is 40513313221. The reversal of 40513313200 is 231331504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190876 + ... + 342724.

It is an arithmetic number, because the mean of its divisors is an integer number (875567100).

Almost surely, 2^40513313200 is an apocalyptic number.

40513313200 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 40513313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52534026000).

40513313200 is an abundant number, since it is smaller than the sum of its proper divisors (64554738800).

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

40513313200 is a wasteful number, since it uses less digits than its factorization.

40513313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151919 (or 151908 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 40513313200 its reverse (231331504), we get a palindrome (40744644704).

The spelling of 40513313200 in words is "forty billion, five hundred thirteen million, three hundred thirteen thousand, two hundred".