1003400040 has 128 divisors (see below), whose sum is σ = 3138629760. Its totient is φ = 256379904.

The previous prime is 1003400023. The next prime is 1003400071. The reversal of 1003400040 is 400043001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1003399989 and 1003400025.

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, 295794 + ... + 299166.

It is an arithmetic number, because the mean of its divisors is an integer number (24520545).

Almost surely, 2^1003400040 is an apocalyptic number.

1003400040 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 1003400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569314880).

1003400040 is an abundant number, since it is smaller than the sum of its proper divisors (2135229720).

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

1003400040 is a wasteful number, since it uses less digits than its factorization.

1003400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1003400040 is about 31676.4903358942. The cubic root of 1003400040 is about 1001.1320646128.

Adding to 1003400040 its reverse (400043001), we get a palindrome (1403443041).

The spelling of 1003400040 in words is "one billion, three million, four hundred thousand, forty".