40109784 has 192 divisors, whose sum is σ = 126489600. Its totient is φ = 10483200.

The previous prime is 40109761. The next prime is 40109789. The reversal of 40109784 is 48790104.

40109784 = 457² + 458² + ... + 599².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40109789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293849 + ... + 1293879.

It is an arithmetic number, because the mean of its divisors is an integer number (658800).

Almost surely, 2^40109784 is an apocalyptic number.

40109784 is a gapful number since it is divisible by the number (44) 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 40109784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63244800).

40109784 is an abundant number, since it is smaller than the sum of its proper divisors (86379816).

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

40109784 is a wasteful number, since it uses less digits than its factorization.

40109784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40109784 is about 6333.2285605369. The cubic root of 40109784 is about 342.3077835264.

Adding to 40109784 its reverse (48790104), we get a palindrome (88899888).

The spelling of 40109784 in words is "forty million, one hundred nine thousand, seven hundred eighty-four".