1330340531040 has 96 divisors (see below), whose sum is σ = 4656191873760. Its totient is φ = 354757473792.

The previous prime is 1330340531033. The next prime is 1330340531059. The reversal of 1330340531040 is 401350430331.

1330340531040 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 340 + 5 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1330340531040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1330340530995 and 1330340531013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153970279 + ... + 153978918.

It is an arithmetic number, because the mean of its divisors is an integer number (48501998685).

Almost surely, 2^{1330340531040} is an apocalyptic number.

1330340531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330340531040 is an abundant number, since it is smaller than the sum of its proper divisors (3325851342720).

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

1330340531040 is a wasteful number, since it uses less digits than its factorization.

1330340531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307949221 (or 307949207 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1330340531040 its reverse (401350430331), we get a palindrome (1731690961371).

The spelling of 1330340531040 in words is "one trillion, three hundred thirty billion, three hundred forty million, five hundred thirty-one thousand, forty".