4214497056 has 288 divisors, whose sum is σ = 14230702080. Its totient is φ = 1079769600.

The previous prime is 4214497043. The next prime is 4214497087. The reversal of 4214497056 is 6507944124.

4214497056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4214496999 and 4214497017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087261 + ... + 4088291.

It is an arithmetic number, because the mean of its divisors is an integer number (49412160).

Almost surely, 2^4214497056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115351040).

4214497056 is an abundant number, since it is smaller than the sum of its proper divisors (10016205024).

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

4214497056 is a wasteful number, since it uses less digits than its factorization.

4214497056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 4214497056 is about 64919.1578503603. The cubic root of 4214497056 is about 1615.2828607358.

The spelling of 4214497056 in words is "four billion, two hundred fourteen million, four hundred ninety-seven thousand, fifty-six".