1385146620240 has 640 divisors, whose sum is σ = 4693071052800. Its totient is φ = 337101864960.

The previous prime is 1385146620239. The next prime is 1385146620283. The reversal of 1385146620240 is 420266415831.

It is a junction number, because it is equal to n+sod(n) for n = 1385146620192 and 1385146620201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2966052487 + ... + 2966052953.

It is an arithmetic number, because the mean of its divisors is an integer number (7332923520).

Almost surely, 2^{1385146620240} is an apocalyptic number.

1385146620240 is a gapful number since it is divisible by the number (10) 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 1385146620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346535526400).

1385146620240 is an abundant number, since it is smaller than the sum of its proper divisors (3307924432560).

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

1385146620240 is a wasteful number, since it uses less digits than its factorization.

1385146620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 1385146620240 in words is "one trillion, three hundred eighty-five billion, one hundred forty-six million, six hundred twenty thousand, two hundred forty".