40745320000 has 280 divisors, whose sum is σ = 125975424960. Its totient is φ = 12698880000.

The previous prime is 40745319997. The next prime is 40745320001. The reversal of 40745320000 is 2354704.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×40745320000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40745320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3073386 + ... + 3086614.

It is an arithmetic number, because the mean of its divisors is an integer number (449912232).

Almost surely, 2^40745320000 is an apocalyptic number.

40745320000 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 40745320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62987712480).

40745320000 is an abundant number, since it is smaller than the sum of its proper divisors (85230104960).

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

40745320000 is a wasteful number, since it uses less digits than its factorization.

40745320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13279 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

Adding to 40745320000 its reverse (2354704), we get a palindrome (40747674704).

The spelling of 40745320000 in words is "forty billion, seven hundred forty-five million, three hundred twenty thousand".