40101000 has 64 divisors (see below), whose sum is σ = 125124480. Its totient is φ = 10692800.

The previous prime is 40100999. The next prime is 40101031. The reversal of 40101000 is 10104.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3684 + ... + 9683.

It is an arithmetic number, because the mean of its divisors is an integer number (1955070).

Almost surely, 2^40101000 is an apocalyptic number.

40101000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40101000 is an abundant number, since it is smaller than the sum of its proper divisors (85023480).

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

40101000 is a wasteful number, since it uses less digits than its factorization.

40101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 40101000 is about 6332.5350374080. The cubic root of 40101000 is about 342.2827933553.

Adding to 40101000 its reverse (10104), we get a palindrome (40111104).

The spelling of 40101000 in words is "forty million, one hundred one thousand".