1383371723520 has 1152 divisors, whose sum is σ = 5370925593600. Its totient is φ = 335959031808.

The previous prime is 1383371723449. The next prime is 1383371723537. The reversal of 1383371723520 is 253271733831.

1383371723520 is a `hidden beast` number, since 1 + 3 + 8 + 33 + 71 + 7 + 23 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2356680667 + ... + 2356681253.

It is an arithmetic number, because the mean of its divisors is an integer number (4662261800).

Almost surely, 2^{1383371723520} is an apocalyptic number.

1383371723520 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 1383371723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685462796800).

1383371723520 is an abundant number, since it is smaller than the sum of its proper divisors (3987553870080).

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

1383371723520 is a wasteful number, since it uses less digits than its factorization.

1383371723520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1383371723520 in words is "one trillion, three hundred eighty-three billion, three hundred seventy-one million, seven hundred twenty-three thousand, five hundred twenty".