308145104941440 has 256 divisors, whose sum is σ = 1057957339723200. Its totient is φ = 75837477519360.

The previous prime is 308145104941409. The next prime is 308145104941441. The reversal of 308145104941440 is 44149401541803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 308145104941440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308145104941441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138195726 + ... + 140407794.

Almost surely, 2^{308145104941440} is an apocalyptic number.

308145104941440 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 308145104941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528978669861600).

308145104941440 is an abundant number, since it is smaller than the sum of its proper divisors (749812234781760).

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

308145104941440 is a wasteful number, since it uses less digits than its factorization.

308145104941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217685 (or 2217673 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 308145104941440 in words is "three hundred eight trillion, one hundred forty-five billion, one hundred four million, nine hundred forty-one thousand, four hundred forty".