4499415398400 has 576 divisors, whose sum is σ = 16169096361600. Its totient is φ = 1097145384960.

The previous prime is 4499415398371. The next prime is 4499415398441. The reversal of 4499415398400 is 48935149944.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213647071 + ... + 213668129.

It is an arithmetic number, because the mean of its divisors is an integer number (28071347850).

Almost surely, 2^{4499415398400} is an apocalyptic number.

4499415398400 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 4499415398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084548180800).

4499415398400 is an abundant number, since it is smaller than the sum of its proper divisors (11669680963200).

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

4499415398400 is a wasteful number, since it uses less digits than its factorization.

4499415398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214 (or 21189 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 4499415398400 in words is "four trillion, four hundred ninety-nine billion, four hundred fifteen million, three hundred ninety-eight thousand, four hundred".