4012855404480 has 448 divisors, whose sum is σ = 15250727009280. Its totient is φ = 987436044288.

The previous prime is 4012855404469. The next prime is 4012855404499. The reversal of 4012855404480 is 844045582104.

4012855404480 is a `hidden beast` number, since 4 + 0 + 1 + 28 + 5 + 540 + 4 + 4 + 80 = 666.

It is a super-2 number, since 2×4012855404480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506222277 + ... + 506230203.

It is an arithmetic number, because the mean of its divisors is an integer number (34041801360).

Almost surely, 2^{4012855404480} is an apocalyptic number.

4012855404480 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 4012855404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625363504640).

4012855404480 is an abundant number, since it is smaller than the sum of its proper divisors (11237871604800).

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

4012855404480 is a wasteful number, since it uses less digits than its factorization.

4012855404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 4012855404480 in words is "four trillion, twelve billion, eight hundred fifty-five million, four hundred four thousand, four hundred eighty".