1140398352000 has 1280 divisors, whose sum is σ = 4524731228160. Its totient is φ = 283668480000.

The previous prime is 1140398351971. The next prime is 1140398352013. The reversal of 1140398352000 is 2538930411.

1140398352000 is a `hidden beast` number, since 1 + 1 + 40 + 3 + 98 + 3 + 520 + 0 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 4208111865 + ... + 4208112135.

It is an arithmetic number, because the mean of its divisors is an integer number (3534946272).

Almost surely, 2^{1140398352000} is an apocalyptic number.

1140398352000 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 1140398352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262365614080).

1140398352000 is an abundant number, since it is smaller than the sum of its proper divisors (3384332876160).

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

1140398352000 is a wasteful number, since it uses less digits than its factorization.

1140398352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1140398352000 in words is "one trillion, one hundred forty billion, three hundred ninety-eight million, three hundred fifty-two thousand".