40121600 has 54 divisors (see below), whose sum is σ = 99323070. Its totient is φ = 16046080.

The previous prime is 40121573. The next prime is 40121617. The reversal of 40121600 is 612104.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 39137536 = 992^2 + 6256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3266 + ... + 9534.

Almost surely, 2^40121600 is an apocalyptic number.

40121600 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 40121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49661535).

40121600 is an abundant number, since it is smaller than the sum of its proper divisors (59201470).

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

40121600 is an equidigital number, since it uses as much as digits as its factorization.

40121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 40121600 is about 6334.1613493816. The cubic root of 40121600 is about 342.3413938766.

Adding to 40121600 its reverse (612104), we get a palindrome (40733704).

The spelling of 40121600 in words is "forty million, one hundred twenty-one thousand, six hundred".