1404080640 has 240 divisors, whose sum is σ = 4907331000. Its totient is φ = 370999296.

The previous prime is 1404080621. The next prime is 1404080659. The reversal of 1404080640 is 460804041.

1404080640 is a `hidden beast` number, since 14 + 0 + 4 + 0 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1404080621) and next prime (1404080659).

It can be written as a sum of positive squares in 4 ways, for example, as 1151652096 + 252428544 = 33936^2 + 15888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432756 + ... + 3433164.

Almost surely, 2^1404080640 is an apocalyptic number.

1404080640 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 1404080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453665500).

1404080640 is an abundant number, since it is smaller than the sum of its proper divisors (3503250360).

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

1404080640 is a wasteful number, since it uses less digits than its factorization.

1404080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1404080640 is about 37471.0640361333. The cubic root of 1404080640 is about 1119.7747846475.

Adding to 1404080640 its reverse (460804041), we get a palindrome (1864884681).

The spelling of 1404080640 in words is "one billion, four hundred four million, eighty thousand, six hundred forty".