1408452477120 has 896 divisors, whose sum is σ = 5484113268480. Its totient is φ = 338146099200.

The previous prime is 1408452477073. The next prime is 1408452477167. The reversal of 1408452477120 is 217742548041.

1408452477120 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 4 + 52 + 477 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1408452477073) and next prime (1408452477167).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1172732520 + ... + 1172733720.

It is an arithmetic number, because the mean of its divisors is an integer number (6120662130).

Almost surely, 2^{1408452477120} is an apocalyptic number.

1408452477120 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 1408452477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742056634240).

1408452477120 is an abundant number, since it is smaller than the sum of its proper divisors (4075660791360).

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

1408452477120 is a wasteful number, since it uses less digits than its factorization.

1408452477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 1408452477120 in words is "one trillion, four hundred eight billion, four hundred fifty-two million, four hundred seventy-seven thousand, one hundred twenty".