40452353200 has 240 divisors, whose sum is σ = 114349466880. Its totient is φ = 13463976960.

The previous prime is 40452353101. The next prime is 40452353203. The reversal of 40452353200 is 235325404.

40452353200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40452353203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21550662 + ... + 21552538.

It is an arithmetic number, because the mean of its divisors is an integer number (476456112).

Almost surely, 2^40452353200 is an apocalyptic number.

40452353200 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 40452353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57174733440).

40452353200 is an abundant number, since it is smaller than the sum of its proper divisors (73897113680).

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

40452353200 is a wasteful number, since it uses less digits than its factorization.

40452353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 40452353200 its reverse (235325404), we get a palindrome (40687678604).

It can be divided in two parts, 4045235 and 3200, that added together give a triangular number (4048435 = T₂₈₄₅).

The spelling of 40452353200 in words is "forty billion, four hundred fifty-two million, three hundred fifty-three thousand, two hundred".