4465355642000 has 320 divisors, whose sum is σ = 12521611065600. Its totient is φ = 1523059200000.

The previous prime is 4465355641993. The next prime is 4465355642003. The reversal of 4465355642000 is 2465535644.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4465355642003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42165116 + ... + 42270884.

It is an arithmetic number, because the mean of its divisors is an integer number (39130034580).

Almost surely, 2^{4465355642000} is an apocalyptic number.

4465355642000 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 4465355642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260805532800).

4465355642000 is an abundant number, since it is smaller than the sum of its proper divisors (8056255423600).

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

4465355642000 is a wasteful number, since it uses less digits than its factorization.

4465355642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105923 (or 105907 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 4465355642000 in words is "four trillion, four hundred sixty-five billion, three hundred fifty-five million, six hundred forty-two thousand".