40121004 has 72 divisors (see below), whose sum is σ = 118819008. Its totient is φ = 10419360.

The previous prime is 40120991. The next prime is 40121009. The reversal of 40121004 is 40012104.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (40121009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3367 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (1650264).

Almost surely, 2^40121004 is an apocalyptic number.

40121004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40121004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59409504).

40121004 is an abundant number, since it is smaller than the sum of its proper divisors (78698004).

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

40121004 is a wasteful number, since it uses less digits than its factorization.

40121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40121004 is about 6334.1143027262. The cubic root of 40121004 is about 342.3396987258.

Adding to 40121004 its reverse (40012104), we get a palindrome (80133108).

Subtracting from 40121004 its reverse (40012104), we obtain a square (108900 = 330²).

It can be divided in two parts, 4012100 and 4, that added together give a palindrome (4012104).

The spelling of 40121004 in words is "forty million, one hundred twenty-one thousand, four".