1404874368000 has 1584 divisors, whose sum is σ = 5540313123072. Its totient is φ = 354834432000.

The previous prime is 1404874367987. The next prime is 1404874368011. The reversal of 1404874368000 is 8634784041.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29890943977 + ... + 29890944023.

Almost surely, 2^{1404874368000} is an apocalyptic number.

1404874368000 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 1404874368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770156561536).

1404874368000 is an abundant number, since it is smaller than the sum of its proper divisors (4135438755072).

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

1404874368000 is an frugal number, since it uses more digits than its factorization.

1404874368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1404874368000 in words is "one trillion, four hundred four billion, eight hundred seventy-four million, three hundred sixty-eight thousand".