1383720210432 has 468 divisors, whose sum is σ = 4923093706596. Its totient is φ = 372084572160.

The previous prime is 1383720210419. The next prime is 1383720210491. The reversal of 1383720210432 is 2340120273831.

1383720210432 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 2 + 0 + 210 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1182212591616 + 201507618816 = 1087296^2 + 448896^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30685182 + ... + 30730242.

It is an arithmetic number, because the mean of its divisors is an integer number (10519430997).

Almost surely, 2^{1383720210432} is an apocalyptic number.

1383720210432 is a gapful number since it is divisible by the number (12) 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 1383720210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461546853298).

1383720210432 is an abundant number, since it is smaller than the sum of its proper divisors (3539373496164).

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

1383720210432 is a wasteful number, since it uses less digits than its factorization.

1383720210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45122 (or 45090 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1383720210432 in words is "one trillion, three hundred eighty-three billion, seven hundred twenty million, two hundred ten thousand, four hundred thirty-two".