4286029676544 has 2160 divisors, whose sum is σ = 17056069675008. Its totient is φ = 1051066368000.

The previous prime is 4286029676531. The next prime is 4286029676587. The reversal of 4286029676544 is 4456769206824.

It is a happy number.

4286029676544 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 0 + 29 + 67 + 6 + 544 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104537309164 + ... + 104537309204.

Almost surely, 2^{4286029676544} is an apocalyptic number.

4286029676544 is a gapful number since it is divisible by the number (44) 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 4286029676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528034837504).

4286029676544 is an abundant number, since it is smaller than the sum of its proper divisors (12770039998464).

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

4286029676544 is an equidigital number, since it uses as much as digits as its factorization.

4286029676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4286029676544 in words is "four trillion, two hundred eighty-six billion, twenty-nine million, six hundred seventy-six thousand, five hundred forty-four".