40204541160 has 480 divisors, whose sum is σ = 158293598760. Its totient is φ = 9125415936.

The previous prime is 40204541149. The next prime is 40204541183. The reversal of 40204541160 is 6114540204.

40204541160 is a `hidden beast` number, since 40 + 20 + 4 + 541 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30718170756 + 9486370404 = 175266^2 + 97398^2 .

It is a super-2 number, since 2×40204541160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24924514 + ... + 24926126.

Almost surely, 2^40204541160 is an apocalyptic number.

40204541160 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 40204541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79146799380).

40204541160 is an abundant number, since it is smaller than the sum of its proper divisors (118089057600).

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

40204541160 is a wasteful number, since it uses less digits than its factorization.

40204541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 40204541160 in words is "forty billion, two hundred four million, five hundred forty-one thousand, one hundred sixty".