4512540400000 has 384 divisors, whose sum is σ = 11574091710720. Its totient is φ = 1751366400000.

The previous prime is 4512540399967. The next prime is 4512540400013. The reversal of 4512540400000 is 40452154.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2872399215 + ... + 2872400785.

It is an arithmetic number, because the mean of its divisors is an integer number (30140863830).

Almost surely, 2^{4512540400000} is an apocalyptic number.

4512540400000 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 4512540400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787045855360).

4512540400000 is an abundant number, since it is smaller than the sum of its proper divisors (7061551310720).

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

4512540400000 is an equidigital number, since it uses as much as digits as its factorization.

4512540400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 4512540400000 its reverse (40452154), we get a palindrome (4512580852154).

The spelling of 4512540400000 in words is "four trillion, five hundred twelve billion, five hundred forty million, four hundred thousand".