378811509840 has 320 divisors, whose sum is σ = 1312544563200. Its totient is φ = 100418572800.

The previous prime is 378811509823. The next prime is 378811509889. The reversal of 378811509840 is 48905118873.

378811509840 is a `hidden beast` number, since 3 + 7 + 88 + 11 + 509 + 8 + 40 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415818985 + ... + 415819895.

It is an arithmetic number, because the mean of its divisors is an integer number (4101701760).

Almost surely, 2^378811509840 is an apocalyptic number.

378811509840 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 378811509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656272281600).

378811509840 is an abundant number, since it is smaller than the sum of its proper divisors (933733053360).

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

378811509840 is a wasteful number, since it uses less digits than its factorization.

378811509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 378811509840 in words is "three hundred seventy-eight billion, eight hundred eleven million, five hundred nine thousand, eight hundred forty".