1408478948352 has 880 divisors, whose sum is σ = 4931547244800. Its totient is φ = 393755738112.

The previous prime is 1408478948347. The next prime is 1408478948369. The reversal of 1408478948352 is 2538498748041.

It is a happy number.

1408478948352 is a `hidden beast` number, since 1 + 4 + 0 + 84 + 78 + 9 + 483 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1408478948352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9452878774 + ... + 9452878922.

It is an arithmetic number, because the mean of its divisors is an integer number (5604030960).

Almost surely, 2^{1408478948352} is an apocalyptic number.

1408478948352 is a gapful number since it is divisible by the number (12) 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 1408478948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465773622400).

1408478948352 is an abundant number, since it is smaller than the sum of its proper divisors (3523068296448).

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

1408478948352 is an frugal number, since it uses more digits than its factorization.

1408478948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

It can be divided in two parts, 14084789 and 48352, that added together give a palindrome (14133141).

The spelling of 1408478948352 in words is "one trillion, four hundred eight billion, four hundred seventy-eight million, nine hundred forty-eight thousand, three hundred fifty-two".