312420301440 has 1024 divisors, whose sum is σ = 1184440320000. Its totient is φ = 69354455040.

The previous prime is 312420301439. The next prime is 312420301513. The reversal of 312420301440 is 44103024213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312420301440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1161413626 + ... + 1161413894.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680000).

Almost surely, 2^312420301440 is an apocalyptic number.

312420301440 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 312420301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160000).

312420301440 is an abundant number, since it is smaller than the sum of its proper divisors (872020018560).

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

312420301440 is a wasteful number, since it uses less digits than its factorization.

312420301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312420301440 its reverse (44103024213), we get a palindrome (356523325653).

The spelling of 312420301440 in words is "three hundred twelve billion, four hundred twenty million, three hundred one thousand, four hundred forty".