144778379400 has 336 divisors, whose sum is σ = 505968062400. Its totient is φ = 38509395840.

The previous prime is 144778379371. The next prime is 144778379407. The reversal of 144778379400 is 4973877441.

144778379400 is a `hidden beast` number, since 1 + 4 + 477 + 83 + 7 + 94 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (144778379407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 71003581 + ... + 71005619.

Almost surely, 2^144778379400 is an apocalyptic number.

144778379400 is a gapful number since it is divisible by the number (10) 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 144778379400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252984031200).

144778379400 is an abundant number, since it is smaller than the sum of its proper divisors (361189683000).

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

144778379400 is a wasteful number, since it uses less digits than its factorization.

144778379400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 144778379400 in words is "one hundred forty-four billion, seven hundred seventy-eight million, three hundred seventy-nine thousand, four hundred".