4221258678000 has 3200 divisors, whose sum is σ = 20684944650240. Its totient is φ = 801803059200.

The previous prime is 4221258677947. The next prime is 4221258678041. The reversal of 4221258678000 is 8768521224.

4221258678000 is a `hidden beast` number, since 42 + 21 + 2 + 586 + 7 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 183532985989 + ... + 183532986011.

Almost surely, 2^{4221258678000} is an apocalyptic number.

4221258678000 is a gapful number since it is divisible by the number (40) 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 4221258678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342472325120).

4221258678000 is an abundant number, since it is smaller than the sum of its proper divisors (16463685972240).

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

4221258678000 is a wasteful number, since it uses less digits than its factorization.

4221258678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4221258678000 in words is "four trillion, two hundred twenty-one billion, two hundred fifty-eight million, six hundred seventy-eight thousand".