40557404160 has 1344 divisors, whose sum is σ = 184202588160. Its totient is φ = 8281128960.

The previous prime is 40557404081. The next prime is 40557404189. The reversal of 40557404160 is 6140475504.

40557404160 is a `hidden beast` number, since 4 + 0 + 557 + 4 + 0 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308303345 + ... + 1308303375.

Almost surely, 2^40557404160 is an apocalyptic number.

40557404160 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 40557404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92101294080).

40557404160 is an abundant number, since it is smaller than the sum of its proper divisors (143645184000).

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

40557404160 is a wasteful number, since it uses less digits than its factorization.

40557404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 40557404160 its reverse (6140475504), we get a palindrome (46697879664).

The spelling of 40557404160 in words is "forty billion, five hundred fifty-seven million, four hundred four thousand, one hundred sixty".