40829780160 has 280 divisors, whose sum is σ = 156412210416. Its totient is φ = 10050324480.

The previous prime is 40829780093. The next prime is 40829780203. The reversal of 40829780160 is 6108792804.

40829780160 is a `hidden beast` number, since 408 + 2 + 9 + 7 + 80 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276375 + ... + 397545.

Almost surely, 2^40829780160 is an apocalyptic number.

40829780160 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 40829780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78206105208).

40829780160 is an abundant number, since it is smaller than the sum of its proper divisors (115582430256).

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

40829780160 is a wasteful number, since it uses less digits than its factorization.

40829780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121213 (or 121194 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 40829780160 in words is "forty billion, eight hundred twenty-nine million, seven hundred eighty thousand, one hundred sixty".