3996151822080 has 1440 divisors, whose sum is σ = 16754843685888. Its totient is φ = 898626355200.

The previous prime is 3996151822073. The next prime is 3996151822081. The reversal of 3996151822080 is 802281516993.

3996151822080 is a `hidden beast` number, since 3 + 9 + 9 + 615 + 18 + 2 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3996151822080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996151822081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1376557909 + ... + 1376560811.

Almost surely, 2^{3996151822080} is an apocalyptic number.

3996151822080 is a gapful number since it is divisible by the number (30) 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 3996151822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377421842944).

3996151822080 is an abundant number, since it is smaller than the sum of its proper divisors (12758691863808).

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

3996151822080 is a wasteful number, since it uses less digits than its factorization.

3996151822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 3996151822080 in words is "three trillion, nine hundred ninety-six billion, one hundred fifty-one million, eight hundred twenty-two thousand, eighty".