378357222240 has 288 divisors, whose sum is σ = 1323957005280. Its totient is φ = 98362294272.

The previous prime is 378357222239. The next prime is 378357222277. The reversal of 378357222240 is 42222753873.

378357222240 is a `hidden beast` number, since 3 + 78 + 3 + 572 + 2 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9338346 + ... + 9378774.

It is an arithmetic number, because the mean of its divisors is an integer number (4597072935).

Almost surely, 2^378357222240 is an apocalyptic number.

378357222240 is a gapful number since it is divisible by the number (30) 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 378357222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661978502640).

378357222240 is an abundant number, since it is smaller than the sum of its proper divisors (945599783040).

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

378357222240 is a wasteful number, since it uses less digits than its factorization.

378357222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40614 (or 40603 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 378357222240 in words is "three hundred seventy-eight billion, three hundred fifty-seven million, two hundred twenty-two thousand, two hundred forty".