1403148040 has 256 divisors, whose sum is σ = 4065914880. Its totient is φ = 424673280.

The previous prime is 1403148029. The next prime is 1403148041. The reversal of 1403148040 is 408413041.

It is a junction number, because it is equal to n+sod(n) for n = 1403147996 and 1403148014.

It is not an unprimeable number, because it can be changed into a prime (1403148041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5459592 + ... + 5459848.

It is an arithmetic number, because the mean of its divisors is an integer number (15882480).

Almost surely, 2^1403148040 is an apocalyptic number.

1403148040 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 1403148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032957440).

1403148040 is an abundant number, since it is smaller than the sum of its proper divisors (2662766840).

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

1403148040 is a wasteful number, since it uses less digits than its factorization.

1403148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1403148040 is about 37458.6177000700. The cubic root of 1403148040 is about 1119.5268090374.

The spelling of 1403148040 in words is "one billion, four hundred three million, one hundred forty-eight thousand, forty".