4545035258400 has 3888 divisors, whose sum is σ = 22292299201536. Its totient is φ = 895436881920.

The previous prime is 4545035258389. The next prime is 4545035258479. The reversal of 4545035258400 is 48525305454.

4545035258400 is a `hidden beast` number, since 4 + 5 + 4 + 503 + 52 + 58 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 35787679137 + ... + 35787679263.

Almost surely, 2^{4545035258400} is an apocalyptic number.

4545035258400 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 4545035258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146149600768).

4545035258400 is an abundant number, since it is smaller than the sum of its proper divisors (17747263943136).

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

4545035258400 is a wasteful number, since it uses less digits than its factorization.

4545035258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 4545035258400 in words is "four trillion, five hundred forty-five billion, thirty-five million, two hundred fifty-eight thousand, four hundred".