380448700416 has 576 divisors, whose sum is σ = 1193290207200. Its totient is φ = 121230950400.

The previous prime is 380448700391. The next prime is 380448700421. The reversal of 380448700416 is 614007844083.

It is a tau number, because it is divible by the number of its divisors (576).

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, 3766818766 + ... + 3766818866.

Almost surely, 2^380448700416 is an apocalyptic number.

380448700416 is a gapful number since it is divisible by the number (36) 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 380448700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596645103600).

380448700416 is an abundant number, since it is smaller than the sum of its proper divisors (812841506784).

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

380448700416 is an frugal number, since it uses more digits than its factorization.

380448700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 380448700416 in words is "three hundred eighty billion, four hundred forty-eight million, seven hundred thousand, four hundred sixteen".