6286401167040 has 336 divisors, whose sum is σ = 22385193337728. Its totient is φ = 1618228150272.

The previous prime is 6286401167029. The next prime is 6286401167041. The reversal of 6286401167040 is 407611046826.

6286401167040 is a `hidden beast` number, since 6 + 2 + 86 + 401 + 167 + 0 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6286401167041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9563184 + ... + 10199376.

Almost surely, 2^{6286401167040} is an apocalyptic number.

6286401167040 is a gapful number since it is divisible by the number (60) 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 6286401167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192596668864).

6286401167040 is an abundant number, since it is smaller than the sum of its proper divisors (16098792170688).

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

6286401167040 is a wasteful number, since it uses less digits than its factorization.

6286401167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636336 (or 636323 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6286401167040 in words is "six trillion, two hundred eighty-six billion, four hundred one million, one hundred sixty-seven thousand, forty".