40734400 has 84 divisors (see below), whose sum is σ = 114582448. Its totient is φ = 13962240.

The previous prime is 40734391. The next prime is 40734427. The reversal of 40734400 is 443704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9382 + ... + 13018.

Almost surely, 2^40734400 is an apocalyptic number.

40734400 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 40734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57291224).

40734400 is an abundant number, since it is smaller than the sum of its proper divisors (73848048).

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

40734400 is a wasteful number, since it uses less digits than its factorization.

40734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 40734400 is about 6382.3506641362. The cubic root of 40734400 is about 344.0755197456.

The spelling of 40734400 in words is "forty million, seven hundred thirty-four thousand, four hundred".