4506278400000 has 2496 divisors, whose sum is σ = 19349999020800. Its totient is φ = 1026293760000.

The previous prime is 4506278399993. The next prime is 4506278400023. The reversal of 4506278400000 is 48726054.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76377599971 + ... + 76377600029.

Almost surely, 2^{4506278400000} is an apocalyptic number.

4506278400000 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 4506278400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674999510400).

4506278400000 is an abundant number, since it is smaller than the sum of its proper divisors (14843720620800).

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

4506278400000 is an equidigital number, since it uses as much as digits as its factorization.

4506278400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

It can be divided in two parts, 4506278 and 400000, that added together give a triangular number (4906278 = T₃₁₃₂).

The spelling of 4506278400000 in words is "four trillion, five hundred six billion, two hundred seventy-eight million, four hundred thousand".