1141382430720 has 720 divisors, whose sum is σ = 4689961156608. Its totient is φ = 260855562240.

The previous prime is 1141382430719. The next prime is 1141382430757. The reversal of 1141382430720 is 270342831411.

1141382430720 is a `hidden beast` number, since 1 + 141 + 3 + 82 + 430 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 139341825 + ... + 139350015.

Almost surely, 2^{1141382430720} is an apocalyptic number.

1141382430720 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 1141382430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344980578304).

1141382430720 is an abundant number, since it is smaller than the sum of its proper divisors (3548578725888).

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

1141382430720 is an frugal number, since it uses more digits than its factorization.

1141382430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1141382430720 in words is "one trillion, one hundred forty-one billion, three hundred eighty-two million, four hundred thirty thousand, seven hundred twenty".