1346962038240 has 1536 divisors, whose sum is σ = 5696558751744. Its totient is φ = 259782082560.

The previous prime is 1346962038203. The next prime is 1346962038271. The reversal of 1346962038240 is 428302696431.

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 1346962038240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2183082412 + ... + 2183083028.

It is an arithmetic number, because the mean of its divisors is an integer number (3708697104).

Almost surely, 2^{1346962038240} is an apocalyptic number.

1346962038240 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 1346962038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848279375872).

1346962038240 is an abundant number, since it is smaller than the sum of its proper divisors (4349596713504).

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

1346962038240 is a wasteful number, since it uses less digits than its factorization.

1346962038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 1346962038240 in words is "one trillion, three hundred forty-six billion, nine hundred sixty-two million, thirty-eight thousand, two hundred forty".