378451899029400 has 384 divisors, whose sum is σ = 1366604788838400. Its totient is φ = 84845151705600.

The previous prime is 378451899029357. The next prime is 378451899029401. The reversal of 378451899029400 is 4920998154873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378451899029401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108051645 + ... + 111499155.

It is an arithmetic number, because the mean of its divisors is an integer number (3558866637600).

Almost surely, 2^{378451899029400} is an apocalyptic number.

378451899029400 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 378451899029400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683302394419200).

378451899029400 is an abundant number, since it is smaller than the sum of its proper divisors (988152889809000).

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

378451899029400 is a wasteful number, since it uses less digits than its factorization.

378451899029400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448039 (or 3448030 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 378451899029400 in words is "three hundred seventy-eight trillion, four hundred fifty-one billion, eight hundred ninety-nine million, twenty-nine thousand, four hundred".