40734720000 has 960 divisors, whose sum is σ = 167674967460. Its totient is φ = 9437184000.

The previous prime is 40734719969. The next prime is 40734720007. The reversal of 40734720000 is 2743704.

It can be written as a sum of positive squares in 10 ways, for example, as 4311760896 + 36422959104 = 65664^2 + 190848^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40734720007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2396159992 + ... + 2396160008.

Almost surely, 2^40734720000 is an apocalyptic number.

40734720000 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 40734720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83837483730).

40734720000 is an abundant number, since it is smaller than the sum of its proper divisors (126940247460).

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

40734720000 is an equidigital number, since it uses as much as digits as its factorization.

40734720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

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

The spelling of 40734720000 in words is "forty billion, seven hundred thirty-four million, seven hundred twenty thousand".