1383561354240 has 704 divisors, whose sum is σ = 5323922755200. Its totient is φ = 338719408128.

The previous prime is 1383561354239. The next prime is 1383561354251. The reversal of 1383561354240 is 424531653831.

1383561354240 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 5 + 61 + 3 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346842166 + ... + 346846154.

Almost surely, 2^{1383561354240} is an apocalyptic number.

1383561354240 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 1383561354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661961377600).

1383561354240 is an abundant number, since it is smaller than the sum of its proper divisors (3940361400960).

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

1383561354240 is a wasteful number, since it uses less digits than its factorization.

1383561354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1383561354240 in words is "one trillion, three hundred eighty-three billion, five hundred sixty-one million, three hundred fifty-four thousand, two hundred forty".