4465146408400 has 120 divisors (see below), whose sum is σ = 11021809559040. Its totient is φ = 1737684602880.

The previous prime is 4465146408367. The next prime is 4465146408413. The reversal of 4465146408400 is 48046415644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313937 + ... + 3264463.

It is an arithmetic number, because the mean of its divisors is an integer number (91848412992).

Almost surely, 2^{4465146408400} is an apocalyptic number.

4465146408400 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 4465146408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510904779520).

4465146408400 is an abundant number, since it is smaller than the sum of its proper divisors (6556663150640).

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

4465146408400 is a wasteful number, since it uses less digits than its factorization.

4465146408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950701 (or 1950690 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 4465146408400 in words is "four trillion, four hundred sixty-five billion, one hundred forty-six million, four hundred eight thousand, four hundred".