1411728998400 has 1632 divisors, whose sum is σ = 6116255201280. Its totient is φ = 312559534080.

The previous prime is 1411728998363. The next prime is 1411728998417. The reversal of 1411728998400 is 48998271141.

1411728998400 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 72 + 89 + 98 + 400 = 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 95 ways as a sum of consecutive naturals, for example, 14553907152 + ... + 14553907248.

Almost surely, 2^{1411728998400} is an apocalyptic number.

1411728998400 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 1411728998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058127600640).

1411728998400 is an abundant number, since it is smaller than the sum of its proper divisors (4704526202880).

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

1411728998400 is an frugal number, since it uses more digits than its factorization.

1411728998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1411728998400 in words is "one trillion, four hundred eleven billion, seven hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".