40600412160 has 672 divisors, whose sum is σ = 165131203392. Its totient is φ = 8422686720.

The previous prime is 40600412123. The next prime is 40600412213. The reversal of 40600412160 is 6121400604.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40600412160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66232014 + ... + 66232626.

Almost surely, 2^40600412160 is an apocalyptic number.

40600412160 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 40600412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565601696).

40600412160 is an abundant number, since it is smaller than the sum of its proper divisors (124530791232).

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

40600412160 is a wasteful number, since it uses less digits than its factorization.

40600412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 40600412160 its reverse (6121400604), we get a palindrome (46721812764).

The spelling of 40600412160 in words is "forty billion, six hundred million, four hundred twelve thousand, one hundred sixty".