1131829770240 has 1344 divisors, whose sum is σ = 4466525263200. Its totient is φ = 273468358656.

The previous prime is 1131829770229. The next prime is 1131829770257. The reversal of 1131829770240 is 420779281311.

1131829770240 is a `hidden beast` number, since 1 + 1 + 318 + 2 + 97 + 7 + 0 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10383759306 + ... + 10383759414.

Almost surely, 2^{1131829770240} is an apocalyptic number.

1131829770240 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 1131829770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233262631600).

1131829770240 is an abundant number, since it is smaller than the sum of its proper divisors (3334695492960).

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

1131829770240 is a wasteful number, since it uses less digits than its factorization.

1131829770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1131829770240 in words is "one trillion, one hundred thirty-one billion, eight hundred twenty-nine million, seven hundred seventy thousand, two hundred forty".