1438945178220 has 192 divisors, whose sum is σ = 4899301908480. Its totient is φ = 347720256000.

The previous prime is 1438945178173. The next prime is 1438945178243. The reversal of 1438945178220 is 228715498341.

1438945178220 is a `hidden beast` number, since 1 + 4 + 38 + 94 + 517 + 8 + 2 + 2 + 0 = 666.

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

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, 1472245 + ... + 2246195.

It is an arithmetic number, because the mean of its divisors is an integer number (25517197440).

Almost surely, 2^{1438945178220} is an apocalyptic number.

1438945178220 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 1438945178220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449650954240).

1438945178220 is an abundant number, since it is smaller than the sum of its proper divisors (3460356730260).

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

1438945178220 is a wasteful number, since it uses less digits than its factorization.

1438945178220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774293 (or 774285 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1438945178220 in words is "one trillion, four hundred thirty-eight billion, nine hundred forty-five million, one hundred seventy-eight thousand, two hundred twenty".