1141248261600 has 216 divisors, whose sum is σ = 4025786676912. Its totient is φ = 304222464000.

The previous prime is 1141248261583. The next prime is 1141248261623. The reversal of 1141248261600 is 61628421411.

1141248261600 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 48 + 2 + 6 + 1 + 600 = 666.

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, 20874300 + ... + 20928900.

It is an arithmetic number, because the mean of its divisors is an integer number (18637901282).

Almost surely, 2^{1141248261600} is an apocalyptic number.

1141248261600 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 1141248261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012893338456).

1141248261600 is an abundant number, since it is smaller than the sum of its proper divisors (2884538415312).

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

1141248261600 is a wasteful number, since it uses less digits than its factorization.

1141248261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57530 (or 57514 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1141248261600 in words is "one trillion, one hundred forty-one billion, two hundred forty-eight million, two hundred sixty-one thousand, six hundred".