4256154514080 has 2304 divisors, whose sum is σ = 19054683648000. Its totient is φ = 841904160768.

The previous prime is 4256154514057. The next prime is 4256154514229. The reversal of 4256154514080 is 804154516524.

4256154514080 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 1 + 54 + 514 + 0 + 80 = 666.

It is a super-2 number, since 2×4256154514080² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23777399431 + ... + 23777399609.

It is an arithmetic number, because the mean of its divisors is an integer number (8270262000).

Almost surely, 2^{4256154514080} is an apocalyptic number.

4256154514080 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 4256154514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9527341824000).

4256154514080 is an abundant number, since it is smaller than the sum of its proper divisors (14798529133920).

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

4256154514080 is a wasteful number, since it uses less digits than its factorization.

4256154514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

It can be divided in two parts, 42561545 and 14080, that added together give a square (42575625 = 6525²).

The spelling of 4256154514080 in words is "four trillion, two hundred fifty-six billion, one hundred fifty-four million, five hundred fourteen thousand, eighty".