1408494796800 has 1632 divisors, whose sum is σ = 5941505052672. Its totient is φ = 286512906240.

The previous prime is 1408494796781. The next prime is 1408494796801. The reversal of 1408494796800 is 86974948041.

It is a super-2 number, since 2×1408494796800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408494796801) 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, 21022310367 + ... + 21022310433.

It is an arithmetic number, because the mean of its divisors is an integer number (3640628096).

Almost surely, 2^{1408494796800} is an apocalyptic number.

1408494796800 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 1408494796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970752526336).

1408494796800 is an abundant number, since it is smaller than the sum of its proper divisors (4533010255872).

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

1408494796800 is an equidigital number, since it uses as much as digits as its factorization.

1408494796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 1408494796800 in words is "one trillion, four hundred eight billion, four hundred ninety-four million, seven hundred ninety-six thousand, eight hundred".