4030420899456 has 768 divisors, whose sum is σ = 14226951024000. Its totient is φ = 1119393644544.

The previous prime is 4030420899437. The next prime is 4030420899467. The reversal of 4030420899456 is 6549980240304.

4030420899456 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 420 + 89 + 94 + 56 = 666.

4030420899456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4030420899456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667529160 + ... + 1667531576.

Almost surely, 2^{4030420899456} 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 4030420899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113475512000).

4030420899456 is an abundant number, since it is smaller than the sum of its proper divisors (10196530124544).

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

4030420899456 is a wasteful number, since it uses less digits than its factorization.

4030420899456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4030420899456 in words is "four trillion, thirty billion, four hundred twenty million, eight hundred ninety-nine thousand, four hundred fifty-six".