1404979128 has 128 divisors (see below), whose sum is σ = 4470220800. Its totient is φ = 400526208.

The previous prime is 1404979123. The next prime is 1404979171. The reversal of 1404979128 is 8219794041.

It is a happy number.

1404979128 is a `hidden beast` number, since 140 + 497 + 9 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404979123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986625 + ... + 988047.

It is an arithmetic number, because the mean of its divisors is an integer number (34923600).

Almost surely, 2^1404979128 is an apocalyptic number.

1404979128 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 1404979128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235110400).

1404979128 is an abundant number, since it is smaller than the sum of its proper divisors (3065241672).

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

1404979128 is a wasteful number, since it uses less digits than its factorization.

1404979128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1404979128 is about 37483.0512098468. The cubic root of 1404979128 is about 1120.0135861447.

The spelling of 1404979128 in words is "one billion, four hundred four million, nine hundred seventy-nine thousand, one hundred twenty-eight".