1404742257408 has 216 divisors, whose sum is σ = 4415050988544. Its totient is φ = 388406568960.

The previous prime is 1404742257403. The next prime is 1404742257433. The reversal of 1404742257408 is 8047522474041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404742257403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5030385 + ... + 5302287.

Almost surely, 2^{1404742257408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404742257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207525494272).

1404742257408 is an abundant number, since it is smaller than the sum of its proper divisors (3010308731136).

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

1404742257408 is an equidigital number, since it uses as much as digits as its factorization.

1404742257408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271991 (or 271946 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 1404742257408 in words is "one trillion, four hundred four billion, seven hundred forty-two million, two hundred fifty-seven thousand, four hundred eight".