378423433440 has 768 divisors, whose sum is σ = 1479922617600. Its totient is φ = 90833633280.

The previous prime is 378423433429. The next prime is 378423433459. The reversal of 378423433440 is 44334324873.

378423433440 is a `hidden beast` number, since 3 + 7 + 84 + 234 + 334 + 4 + 0 = 666.

It is a super-2 number, since 2×378423433440² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186506346 + ... + 186508374.

It is an arithmetic number, because the mean of its divisors is an integer number (1926982575).

Almost surely, 2^378423433440 is an apocalyptic number.

378423433440 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 378423433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739961308800).

378423433440 is an abundant number, since it is smaller than the sum of its proper divisors (1101499184160).

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

378423433440 is a wasteful number, since it uses less digits than its factorization.

378423433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 378423433440 in words is "three hundred seventy-eight billion, four hundred twenty-three million, four hundred thirty-three thousand, four hundred forty".