40413064560 has 160 divisors (see below), whose sum is σ = 136848241152. Its totient is φ = 9784304640.

The previous prime is 40413064537. The next prime is 40413064613. The reversal of 40413064560 is 6546031404.

40413064560 is digitally balanced in base 2, because in such base 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2094477 + ... + 2113683.

Almost surely, 2^40413064560 is an apocalyptic number.

40413064560 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 40413064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68424120576).

40413064560 is an abundant number, since it is smaller than the sum of its proper divisors (96435176592).

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

40413064560 is a wasteful number, since it uses less digits than its factorization.

40413064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20031 (or 20025 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 40413064560 its reverse (6546031404), we get a palindrome (46959095964).

The spelling of 40413064560 in words is "forty billion, four hundred thirteen million, sixty-four thousand, five hundred sixty".