4077424465920 has 768 divisors, whose sum is σ = 16430686272000. Its totient is φ = 950832857088.

The previous prime is 4077424465883. The next prime is 4077424465963. The reversal of 4077424465920 is 295644247704.

4077424465920 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 4 + 2 + 4 + 46 + 592 + 0 = 666.

4077424465920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 68260707 + ... + 68320413.

It is an arithmetic number, because the mean of its divisors is an integer number (21394122750).

Almost surely, 2^{4077424465920} is an apocalyptic number.

4077424465920 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 4077424465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215343136000).

4077424465920 is an abundant number, since it is smaller than the sum of its proper divisors (12353261806080).

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

4077424465920 is a wasteful number, since it uses less digits than its factorization.

4077424465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59775 (or 59749 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4077424465920 in words is "four trillion, seventy-seven billion, four hundred twenty-four million, four hundred sixty-five thousand, nine hundred twenty".