40045415040 has 640 divisors, whose sum is σ = 148915609920. Its totient is φ = 10247454720.

The previous prime is 40045415009. The next prime is 40045415051. The reversal of 40045415040 is 4051454004.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40045414995 and 40045415013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176411407 + ... + 176411633.

Almost surely, 2^40045415040 is an apocalyptic number.

40045415040 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 40045415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74457804960).

40045415040 is an abundant number, since it is smaller than the sum of its proper divisors (108870194880).

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

40045415040 is a wasteful number, since it uses less digits than its factorization.

40045415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40045415040 its reverse (4051454004), we get a palindrome (44096869044).

The spelling of 40045415040 in words is "forty billion, forty-five million, four hundred fifteen thousand, forty".