1141741670784 has 1024 divisors, whose sum is σ = 4035684280320. Its totient is φ = 280284364800.

The previous prime is 1141741670759. The next prime is 1141741670791. The reversal of 1141741670784 is 4870761471411.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 880293624 + ... + 880294920.

It is an arithmetic number, because the mean of its divisors is an integer number (3941097930).

Almost surely, 2^{1141741670784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141741670784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017842140160).

1141741670784 is an abundant number, since it is smaller than the sum of its proper divisors (2893942609536).

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

1141741670784 is a wasteful number, since it uses less digits than its factorization.

1141741670784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The spelling of 1141741670784 in words is "one trillion, one hundred forty-one billion, seven hundred forty-one million, six hundred seventy thousand, seven hundred eighty-four".