40533100 has 72 divisors (see below), whose sum is σ = 94400208. Its totient is φ = 15052800.

The previous prime is 40533091. The next prime is 40533121. The reversal of 40533100 is 133504.

It is a super-2 number, since 2×40533100² = 3285864391220000, which contains 22 as substring.

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, 191995 + ... + 192205.

It is an arithmetic number, because the mean of its divisors is an integer number (1311114).

Almost surely, 2^40533100 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 40533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47200104).

40533100 is an abundant number, since it is smaller than the sum of its proper divisors (53867108).

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

40533100 is a wasteful number, since it uses less digits than its factorization.

40533100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 40533100 is about 6366.5610811489. The cubic root of 40533100 is about 343.5078029482.

Adding to 40533100 its reverse (133504), we get a palindrome (40666604).

The spelling of 40533100 in words is "forty million, five hundred thirty-three thousand, one hundred".