1140152846976 has 1536 divisors, whose sum is σ = 4403749109760. Its totient is φ = 277364736000.

The previous prime is 1140152846929. The next prime is 1140152846981. The reversal of 1140152846976 is 6796482510411.

1140152846976 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 528 + 46 + 9 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1996764771 + ... + 1996765341.

It is an arithmetic number, because the mean of its divisors is an integer number (2867024160).

Almost surely, 2^{1140152846976} is an apocalyptic number.

1140152846976 is a gapful number since it is divisible by the number (16) 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 1140152846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201874554880).

1140152846976 is an abundant number, since it is smaller than the sum of its proper divisors (3263596262784).

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

1140152846976 is a wasteful number, since it uses less digits than its factorization.

1140152846976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1140152846976 in words is "one trillion, one hundred forty billion, one hundred fifty-two million, eight hundred forty-six thousand, nine hundred seventy-six".