8401337280 has 448 divisors, whose sum is σ = 34972508160. Its totient is φ = 1857945600.

The previous prime is 8401337267. The next prime is 8401337317. The reversal of 8401337280 is 827331048.

8401337280 is a `hidden beast` number, since 8 + 40 + 1 + 337 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×8401337280³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1872640 + ... + 1877120.

Almost surely, 2^8401337280 is an apocalyptic number.

8401337280 is a gapful number since it is divisible by the number (80) 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 8401337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486254080).

8401337280 is an abundant number, since it is smaller than the sum of its proper divisors (26571170880).

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

8401337280 is a wasteful number, since it uses less digits than its factorization.

8401337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8401337280 is about 91658.8090692870. The cubic root of 8401337280 is about 2032.9005814391.

The spelling of 8401337280 in words is "eight billion, four hundred one million, three hundred thirty-seven thousand, two hundred eighty".