4506003356400 has 480 divisors, whose sum is σ = 19739123281920. Its totient is φ = 950716984320.

The previous prime is 4506003356399. The next prime is 4506003356423. The reversal of 4506003356400 is 46533006054.

4506003356400 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 0 + 0 + 3 + 3 + 5 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309632 + ... + 3275231.

It is an arithmetic number, because the mean of its divisors is an integer number (41123173504).

Almost surely, 2^{4506003356400} is an apocalyptic number.

4506003356400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4506003356400 is an abundant number, since it is smaller than the sum of its proper divisors (15233119925520).

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

4506003356400 is a wasteful number, since it uses less digits than its factorization.

4506003356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584910 (or 4584893 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 4506003356400 in words is "four trillion, five hundred six billion, three million, three hundred fifty-six thousand, four hundred".