40111680 has 224 divisors, whose sum is σ = 149815296. Its totient is φ = 8902656.

The previous prime is 40111651. The next prime is 40111739. The reversal of 40111680 is 8611104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315777 + ... + 315903.

Almost surely, 2^40111680 is an apocalyptic number.

40111680 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 40111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74907648).

40111680 is an abundant number, since it is smaller than the sum of its proper divisors (109703616).

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

40111680 is a wasteful number, since it uses less digits than its factorization.

40111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 40111680 is about 6333.3782454548. The cubic root of 40111680 is about 342.3131771010.

Adding to 40111680 its reverse (8611104), we get a palindrome (48722784).

The spelling of 40111680 in words is "forty million, one hundred eleven thousand, six hundred eighty".