40677840 has 180 divisors, whose sum is σ = 159051204. Its totient is φ = 9289728.

The previous prime is 40677829. The next prime is 40677881. The reversal of 40677840 is 4877604.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 16941456 = 4872^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 40677795 and 40677804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34704 + ... + 35856.

Almost surely, 2^40677840 is an apocalyptic number.

40677840 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 40677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79525602).

40677840 is an abundant number, since it is smaller than the sum of its proper divisors (118373364).

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

40677840 is a wasteful number, since it uses less digits than its factorization.

40677840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 40677840 is about 6377.9181556367. The cubic root of 40677840 is about 343.9161955580.

The spelling of 40677840 in words is "forty million, six hundred seventy-seven thousand, eight hundred forty".