1881632701440 has 264 divisors, whose sum is σ = 6532850626848. Its totient is φ = 500764999680.

The previous prime is 1881632701439. The next prime is 1881632701441. The reversal of 1881632701440 is 441072361881.

1881632701440 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 632 + 7 + 0 + 1 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1881632701439) and next prime (1881632701441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1881632701441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23137650 + ... + 23218830.

Almost surely, 2^{1881632701440} is an apocalyptic number.

1881632701440 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 1881632701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266425313424).

1881632701440 is an abundant number, since it is smaller than the sum of its proper divisors (4651217925408).

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

1881632701440 is a wasteful number, since it uses less digits than its factorization.

1881632701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81715 (or 81694 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1881632701440 in words is "one trillion, eight hundred eighty-one billion, six hundred thirty-two million, seven hundred one thousand, four hundred forty".