1321400040 has 32 divisors (see below), whose sum is σ = 3964200480. Its totient is φ = 352373312.

The previous prime is 1321400033. The next prime is 1321400053. The reversal of 1321400040 is 400041231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1321399992 and 1321400019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5505714 + ... + 5505953.

It is an arithmetic number, because the mean of its divisors is an integer number (123881265).

Almost surely, 2^1321400040 is an apocalyptic number.

1321400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321400040 is an abundant number, since it is smaller than the sum of its proper divisors (2642800440).

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

1321400040 is a wasteful number, since it uses less digits than its factorization.

1321400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011681 (or 11011677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1321400040 is about 36351.0665593184. The cubic root of 1321400040 is about 1097.3489991384.

Adding to 1321400040 its reverse (400041231), we get a palindrome (1721441271).

The spelling of 1321400040 in words is "one billion, three hundred twenty-one million, four hundred thousand, forty".