40406100 has 144 divisors (see below), whose sum is σ = 135991296. Its totient is φ = 9072000.

The previous prime is 40406083. The next prime is 40406129. The reversal of 40406100 is 160404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40406100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148965 + ... + 149235.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 2^40406100 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 40406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67995648).

40406100 is an abundant number, since it is smaller than the sum of its proper divisors (95585196).

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

40406100 is a wasteful number, since it uses less digits than its factorization.

40406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40406100 is about 6356.5792687577. The cubic root of 40406100 is about 343.1486632696.

Adding to 40406100 its reverse (160404), we get a palindrome (40566504).

The spelling of 40406100 in words is "forty million, four hundred six thousand, one hundred".