1404103680 has 352 divisors, whose sum is σ = 5706708480. Its totient is φ = 320716800.

The previous prime is 1404103663. The next prime is 1404103697. The reversal of 1404103680 is 863014041.

1404103680 is a `hidden beast` number, since 140 + 410 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1404103663) and next prime (1404103697).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966955 + ... + 968405.

It is an arithmetic number, because the mean of its divisors is an integer number (16212240).

Almost surely, 2^1404103680 is an apocalyptic number.

1404103680 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 1404103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853354240).

1404103680 is an abundant number, since it is smaller than the sum of its proper divisors (4302604800).

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

1404103680 is a wasteful number, since it uses less digits than its factorization.

1404103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1404103680 is about 37471.3714720985. The cubic root of 1404103680 is about 1119.7809095260.

The spelling of 1404103680 in words is "one billion, four hundred four million, one hundred three thousand, six hundred eighty".