40114000 has 80 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 15504000.

The previous prime is 40113977. The next prime is 40114003. The reversal of 40114000 is 41104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114003) 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, 61677 + ... + 62323.

Almost surely, 2^40114000 is an apocalyptic number.

40114000 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 40114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

40114000 is an abundant number, since it is smaller than the sum of its proper divisors (60165296).

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

40114000 is a wasteful number, since it uses less digits than its factorization.

40114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40114000 is about 6333.5613994024. The cubic root of 40114000 is about 342.3197766023.

Adding to 40114000 its reverse (41104), we get a palindrome (40155104).

The spelling of 40114000 in words is "forty million, one hundred fourteen thousand".