312825421440 has 1280 divisors, whose sum is σ = 1369618398720. Its totient is φ = 66479947776.

The previous prime is 312825421411. The next prime is 312825421507. The reversal of 312825421440 is 44124528213.

312825421440 is a `hidden beast` number, since 31 + 2 + 82 + 542 + 1 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×312825421440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312825421395 and 312825421404.

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 159 ways as a sum of consecutive naturals, for example, 308810374 + ... + 308811386.

It is an arithmetic number, because the mean of its divisors is an integer number (1070014374).

Almost surely, 2^312825421440 is an apocalyptic number.

312825421440 is a gapful number since it is divisible by the number (30) 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 312825421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684809199360).

312825421440 is an abundant number, since it is smaller than the sum of its proper divisors (1056792977280).

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

312825421440 is a wasteful number, since it uses less digits than its factorization.

312825421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 312825421440 its reverse (44124528213), we get a palindrome (356949949653).

The spelling of 312825421440 in words is "three hundred twelve billion, eight hundred twenty-five million, four hundred twenty-one thousand, four hundred forty".