1152851645440 has 176 divisors, whose sum is σ = 3039950637504. Its totient is φ = 416015974400.

The previous prime is 1152851645357. The next prime is 1152851645461. The reversal of 1152851645440 is 445461582511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7299792 + ... + 7456048.

It is an arithmetic number, because the mean of its divisors is an integer number (17272446804).

Almost surely, 2^{1152851645440} is an apocalyptic number.

1152851645440 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 1152851645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519975318752).

1152851645440 is an abundant number, since it is smaller than the sum of its proper divisors (1887098992064).

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

1152851645440 is a wasteful number, since it uses less digits than its factorization.

1152851645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156424 (or 156406 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 46.

The spelling of 1152851645440 in words is "one trillion, one hundred fifty-two billion, eight hundred fifty-one million, six hundred forty-five thousand, four hundred forty".