1321943040 has 360 divisors, whose sum is σ = 5029865568. Its totient is φ = 318504960.

The previous prime is 1321943027. The next prime is 1321943053. The reversal of 1321943040 is 403491231.

1321943040 is a `hidden beast` number, since 13 + 219 + 430 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1321943027) and next prime (1321943053).

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 1321942995 and 1321943013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109999 + ... + 8110161.

Almost surely, 2^1321943040 is an apocalyptic number.

1321943040 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 1321943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514932784).

1321943040 is an abundant number, since it is smaller than the sum of its proper divisors (3707922528).

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

1321943040 is a wasteful number, since it uses less digits than its factorization.

1321943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1321943040 is about 36358.5346239366. The cubic root of 1321943040 is about 1097.4992889544.

The spelling of 1321943040 in words is "one billion, three hundred twenty-one million, nine hundred forty-three thousand, forty".