40113000 has 96 divisors (see below), whose sum is σ = 135612360. Its totient is φ = 10694400.

The previous prime is 40112983. The next prime is 40113019. The reversal of 40113000 is 31104.

It can be written as a sum of positive squares in 4 ways, for example, as 15729156 + 24383844 = 3966^2 + 4938^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6772 + ... + 11228.

Almost surely, 2^40113000 is an apocalyptic number.

40113000 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 40113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67806180).

40113000 is an abundant number, since it is smaller than the sum of its proper divisors (95499360).

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

40113000 is a wasteful number, since it uses less digits than its factorization.

40113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40113000 is about 6333.4824543848. The cubic root of 40113000 is about 342.3169320209.

Adding to 40113000 its reverse (31104), we get a palindrome (40144104).

The spelling of 40113000 in words is "forty million, one hundred thirteen thousand".