378518900240 has 80 divisors (see below), whose sum is σ = 949188633456. Its totient is φ = 139549132800.

The previous prime is 378518900197. The next prime is 378518900257. The reversal of 378518900240 is 42009815873.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 78911551744 + 299607348496 = 280912^2 + 547364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412130 + ... + 962750.

Almost surely, 2^378518900240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378518900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474594316728).

378518900240 is an abundant number, since it is smaller than the sum of its proper divisors (570669733216).

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

378518900240 is a wasteful number, since it uses less digits than its factorization.

378518900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551308 (or 551302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 378518900240 in words is "three hundred seventy-eight billion, five hundred eighteen million, nine hundred thousand, two hundred forty".