4045458816000 has 1320 divisors, whose sum is σ = 17540174851056. Its totient is φ = 924560179200.

The previous prime is 4045458815977. The next prime is 4045458816013. The reversal of 4045458816000 is 6188545404.

It is a happy number.

4045458816000 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 4 + 588 + 1 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508028019 + ... + 508035981.

Almost surely, 2^{4045458816000} is an apocalyptic number.

4045458816000 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 4045458816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770087425528).

4045458816000 is an abundant number, since it is smaller than the sum of its proper divisors (13494716035056).

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

4045458816000 is an equidigital number, since it uses as much as digits as its factorization.

4045458816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 4045458816000 in words is "four trillion, forty-five billion, four hundred fifty-eight million, eight hundred sixteen thousand".