8002413377280 has 2160 divisors, whose sum is σ = 34545112265664. Its totient is φ = 1762447196160.

The previous prime is 8002413377243. The next prime is 8002413377281. The reversal of 8002413377280 is 827733142008.

8002413377280 is a `hidden beast` number, since 8 + 0 + 0 + 241 + 337 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (8002413377281) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21454191174 + ... + 21454191546.

Almost surely, 2^{8002413377280} is an apocalyptic number.

8002413377280 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 8002413377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272556132832).

8002413377280 is an abundant number, since it is smaller than the sum of its proper divisors (26542698888384).

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

8002413377280 is a wasteful number, since it uses less digits than its factorization.

8002413377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 8002413377280 in words is "eight trillion, two billion, four hundred thirteen million, three hundred seventy-seven thousand, two hundred eighty".