1403093640 has 256 divisors, whose sum is σ = 4842270720. Its totient is φ = 322191360.

The previous prime is 1403093639. The next prime is 1403093647. The reversal of 1403093640 is 463903041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1403093598 and 1403093607.

It is not an unprimeable number, because it can be changed into a prime (1403093647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5065182 + ... + 5065458.

It is an arithmetic number, because the mean of its divisors is an integer number (18915120).

Almost surely, 2^1403093640 is an apocalyptic number.

1403093640 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 1403093640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421135360).

1403093640 is an abundant number, since it is smaller than the sum of its proper divisors (3439177080).

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

1403093640 is a wasteful number, since it uses less digits than its factorization.

1403093640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1403093640 is about 37457.8915583886. The cubic root of 1403093640 is about 1119.5123408454.

Adding to 1403093640 its reverse (463903041), we get a palindrome (1866996681).

The spelling of 1403093640 in words is "one billion, four hundred three million, ninety-three thousand, six hundred forty".