40045025100 has 144 divisors (see below), whose sum is σ = 122185929600. Its totient is φ = 10098040320.

The previous prime is 40045025099. The next prime is 40045025107. The reversal of 40045025100 is 152054004.

It is not an unprimeable number, because it can be changed into a prime (40045025107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3237127 + ... + 3249473.

It is an arithmetic number, because the mean of its divisors is an integer number (848513400).

Almost surely, 2^40045025100 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 40045025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61092964800).

40045025100 is an abundant number, since it is smaller than the sum of its proper divisors (82140904500).

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

40045025100 is a wasteful number, since it uses less digits than its factorization.

40045025100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 40045025100 its reverse (152054004), we get a palindrome (40197079104).

The spelling of 40045025100 in words is "forty billion, forty-five million, twenty-five thousand, one hundred".