40410100 has 36 divisors (see below), whose sum is σ = 88580268. Its totient is φ = 16000000.

The previous prime is 40410091. The next prime is 40410109. The reversal of 40410100 is 101404.

It is an interprime number because it is at equal distance from previous prime (40410091) and next prime (40410109).

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 39614436 = 892^2 + 6294^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40410109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8100 + ... + 12100.

It is an arithmetic number, because the mean of its divisors is an integer number (2460563).

Almost surely, 2^40410100 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 40410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44290134).

40410100 is an abundant number, since it is smaller than the sum of its proper divisors (48170168).

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

40410100 is a wasteful number, since it uses less digits than its factorization.

40410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40410100 is about 6356.8938956066. The cubic root of 40410100 is about 343.1599862247.

Adding to 40410100 its reverse (101404), we get a palindrome (40511504).

It can be divided in two parts, 404 and 10100, that multiplied together give a square (4080400 = 2020²).

The spelling of 40410100 in words is "forty million, four hundred ten thousand, one hundred".