1382801172480 has 3072 divisors, whose sum is σ = 6633475430400. Its totient is φ = 264996126720.

The previous prime is 1382801172469. The next prime is 1382801172481. The reversal of 1382801172480 is 842711082831.

1382801172480 is a `hidden beast` number, since 1 + 3 + 82 + 80 + 1 + 17 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×1382801172480² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1382801172481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22668871650 + ... + 22668871710.

It is an arithmetic number, because the mean of its divisors is an integer number (2159334450).

Almost surely, 2^{1382801172480} is an apocalyptic number.

1382801172480 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 1382801172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316737715200).

1382801172480 is an abundant number, since it is smaller than the sum of its proper divisors (5250674257920).

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

1382801172480 is a wasteful number, since it uses less digits than its factorization.

1382801172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1382801172480 in words is "one trillion, three hundred eighty-two billion, eight hundred one million, one hundred seventy-two thousand, four hundred eighty".