8401446144 has 864 divisors, whose sum is σ = 33144195840. Its totient is φ = 2042413056.

The previous prime is 8401446127. The next prime is 8401446191. The reversal of 8401446144 is 4416441048.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8401446099 and 8401446108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227066094 + ... + 227066130.

Almost surely, 2^8401446144 is an apocalyptic number.

8401446144 is a gapful number since it is divisible by the number (84) 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 8401446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572097920).

8401446144 is an abundant number, since it is smaller than the sum of its proper divisors (24742749696).

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

8401446144 is a wasteful number, since it uses less digits than its factorization.

8401446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8401446144 is about 91659.4029219043. The cubic root of 8401446144 is about 2032.9093621338.

The spelling of 8401446144 in words is "eight billion, four hundred one million, four hundred forty-six thousand, one hundred forty-four".