40314900 has 72 divisors (see below), whose sum is σ = 118610464. Its totient is φ = 10569600.

The previous prime is 40314899. The next prime is 40314913. The reversal of 40314900 is 941304.

It is a congruent number.

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, 17199 + ... + 19401.

Almost surely, 2^40314900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40314900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59305232).

40314900 is an abundant number, since it is smaller than the sum of its proper divisors (78295564).

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

40314900 is a wasteful number, since it uses less digits than its factorization.

40314900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40314900 is about 6349.4015466026. The cubic root of 40314900 is about 342.8902968931.

It can be divided in two parts, 40314 and 900, that added together give a palindrome (41214).

The spelling of 40314900 in words is "forty million, three hundred fourteen thousand, nine hundred".