40114320 has 120 divisors (see below), whose sum is σ = 131527296. Its totient is φ = 10112256.

The previous prime is 40114273. The next prime is 40114331. The reversal of 40114320 is 2341104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40114320.

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, 86409 + ... + 86871.

Almost surely, 2^40114320 is an apocalyptic number.

40114320 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 40114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65763648).

40114320 is an abundant number, since it is smaller than the sum of its proper divisors (91412976).

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

40114320 is a wasteful number, since it uses less digits than its factorization.

40114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40114320 is about 6333.5866616002. The cubic root of 40114320 is about 342.3206868584.

Adding to 40114320 its reverse (2341104), we get a palindrome (42455424).

The spelling of 40114320 in words is "forty million, one hundred fourteen thousand, three hundred twenty".