1141952779000 has 256 divisors, whose sum is σ = 2951348400000. Its totient is φ = 410116608000.

The previous prime is 1141952778983. The next prime is 1141952779001. The reversal of 1141952779000 is 9772591411.

It is a super-2 number, since 2×1141952779000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141952779001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418449636 + ... + 418452364.

Almost surely, 2^{1141952779000} is an apocalyptic number.

1141952779000 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 1141952779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475674200000).

1141952779000 is an abundant number, since it is smaller than the sum of its proper divisors (1809395621000).

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

1141952779000 is a wasteful number, since it uses less digits than its factorization.

1141952779000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 46.

The spelling of 1141952779000 in words is "one trillion, one hundred forty-one billion, nine hundred fifty-two million, seven hundred seventy-nine thousand".