40101084 has 72 divisors (see below), whose sum is σ = 106535520. Its totient is φ = 12700800.

The previous prime is 40101071. The next prime is 40101091. The reversal of 40101084 is 48010104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73854 + ... + 74394.

It is an arithmetic number, because the mean of its divisors is an integer number (1479660).

Almost surely, 2^40101084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53267760).

40101084 is an abundant number, since it is smaller than the sum of its proper divisors (66434436).

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

40101084 is a wasteful number, since it uses less digits than its factorization.

40101084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40101084 is about 6332.5416698195. The cubic root of 40101084 is about 342.2830323496.

Adding to 40101084 its reverse (48010104), we get a palindrome (88111188).

It can be divided in two parts, 40 and 101084, that added together give a square (101124 = 318²).

The spelling of 40101084 in words is "forty million, one hundred one thousand, eighty-four".