1398849405408 has 432 divisors, whose sum is σ = 5059093279968. Its totient is φ = 357020006400.

The previous prime is 1398849405353. The next prime is 1398849405409. The reversal of 1398849405408 is 8045049488931.

1398849405408 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 49 + 40 + 540 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398849405409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25158118 + ... + 25213658.

It is an arithmetic number, because the mean of its divisors is an integer number (11710864074).

Almost surely, 2^{1398849405408} is an apocalyptic number.

1398849405408 is a gapful number since it is divisible by the number (18) 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 1398849405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529546639984).

1398849405408 is an abundant number, since it is smaller than the sum of its proper divisors (3660243874560).

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

1398849405408 is a wasteful number, since it uses less digits than its factorization.

1398849405408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55639 (or 55597 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1398849405408 in words is "one trillion, three hundred ninety-eight billion, eight hundred forty-nine million, four hundred five thousand, four hundred eight".