40734720 has 312 divisors, whose sum is σ = 161002296. Its totient is φ = 9437184.

The previous prime is 40734719. The next prime is 40734769. The reversal of 40734720 is 2743704.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 37748736 = 1728^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (312).

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, 2396152 + ... + 2396168.

It is an arithmetic number, because the mean of its divisors is an integer number (516033).

Almost surely, 2^40734720 is an apocalyptic number.

40734720 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 40734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80501148).

40734720 is an abundant number, since it is smaller than the sum of its proper divisors (120267576).

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

40734720 is a wasteful number, since it uses less digits than its factorization.

40734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40734720 is about 6382.3757332203. The cubic root of 40734720 is about 344.0764207357.

The spelling of 40734720 in words is "forty million, seven hundred thirty-four thousand, seven hundred twenty".