40121000 has 64 divisors (see below), whose sum is σ = 95780880. Its totient is φ = 15724800.

The previous prime is 40120991. The next prime is 40121009. The reversal of 40121000 is 12104.

It is an interprime number because it is at equal distance from previous prime (40120991) and next prime (40121009).

It can be written as a sum of positive squares in 8 ways, for example, as 4813636 + 35307364 = 2194^2 + 5942^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52622 + ... + 53378.

Almost surely, 2^40121000 is an apocalyptic number.

40121000 is a gapful number since it is divisible by the number (40) 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 40121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47890440).

40121000 is an abundant number, since it is smaller than the sum of its proper divisors (55659880).

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

40121000 is a wasteful number, since it uses less digits than its factorization.

40121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 40121000 is about 6334.1139869756. The cubic root of 40121000 is about 342.3396873489.

Adding to 40121000 its reverse (12104), we get a palindrome (40133104).

It can be divided in two parts, 40 and 121000, that multiplied together give a square (4840000 = 2200²).

The spelling of 40121000 in words is "forty million, one hundred twenty-one thousand".