40500004500000 has 504 divisors, whose sum is σ = 146324058199956. Its totient is φ = 10622880000000.

The previous prime is 40500004499957. The next prime is 40500004500001. The reversal of 40500004500000 is 540000504.

It is a happy number.

40500004500000 is a nontrivial binomial coefficient, being equal to C(9000001, 2).

It can be written as a sum of positive squares in 14 ways, for example, as 38122869594384 + 2377134905616 = 6174372^2 + 1541796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40500004500001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 274426230 + ... + 274573770.

Almost surely, 2^{40500004500000} is an apocalyptic number.

40500004500000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40500004500000 is the 9000000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40500004500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73162029099978).

40500004500000 is an abundant number, since it is smaller than the sum of its proper divisors (105824053699956).

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

40500004500000 is an equidigital number, since it uses as much as digits as its factorization.

40500004500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147648 (or 147612 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

Adding to 40500004500000 its reverse (540000504), we get a palindrome (40500544500504).

The spelling of 40500004500000 in words is "forty trillion, five hundred billion, four million, five hundred thousand".