40619900160 has 432 divisors, whose sum is σ = 165809280000. Its totient is φ = 8984494080.

The previous prime is 40619900149. The next prime is 40619900179. The reversal of 40619900160 is 6100991604.

40619900160 is a `hidden beast` number, since 406 + 1 + 9 + 90 + 0 + 160 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2491716 + ... + 2507964.

Almost surely, 2^40619900160 is an apocalyptic number.

40619900160 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 40619900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82904640000).

40619900160 is an abundant number, since it is smaller than the sum of its proper divisors (125189379840).

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

40619900160 is a wasteful number, since it uses less digits than its factorization.

40619900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16314 (or 16297 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 40619900160 in words is "forty billion, six hundred nineteen million, nine hundred thousand, one hundred sixty".