4255206721920 has 2560 divisors, whose sum is σ = 20358731289600. Its totient is φ = 819831767040.

The previous prime is 4255206721901. The next prime is 4255206721967. The reversal of 4255206721920 is 291276025524.

4255206721920 is a `hidden beast` number, since 4 + 2 + 552 + 0 + 6 + 7 + 2 + 1 + 92 + 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 319 ways as a sum of consecutive naturals, for example, 4953674451 + ... + 4953675309.

It is an arithmetic number, because the mean of its divisors is an integer number (7952629410).

Almost surely, 2^{4255206721920} is an apocalyptic number.

4255206721920 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 4255206721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179365644800).

4255206721920 is an abundant number, since it is smaller than the sum of its proper divisors (16103524567680).

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

4255206721920 is a wasteful number, since it uses less digits than its factorization.

4255206721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 4255206721920 in words is "four trillion, two hundred fifty-five billion, two hundred six million, seven hundred twenty-one thousand, nine hundred twenty".