310045135440 has 80 divisors (see below), whose sum is σ = 1002928629888. Its totient is φ = 79083975168.

The previous prime is 310045135373. The next prime is 310045135483. The reversal of 310045135440 is 44531540013.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×310045135440² (a number of 24 digits) contains 22 as substring.

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 = 310045135398 and 310045135407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28078279 + ... + 28089318.

Almost surely, 2^310045135440 is an apocalyptic number.

310045135440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310045135440 is an abundant number, since it is smaller than the sum of its proper divisors (692883494448).

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

310045135440 is a wasteful number, since it uses less digits than its factorization.

310045135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56167636 (or 56167630 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 310045135440 its reverse (44531540013), we get a palindrome (354576675453).

The spelling of 310045135440 in words is "three hundred ten billion, forty-five million, one hundred thirty-five thousand, four hundred forty".