4054919920 has 40 divisors (see below), whose sum is σ = 9461291760. Its totient is φ = 1616186880.

The previous prime is 4054919899. The next prime is 4054919959. The reversal of 4054919920 is 299194504.

4054919920 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 (40).

It is a super-2 number, since 2×4054919920² = 32884751115225612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67710 + ... + 112669.

It is an arithmetic number, because the mean of its divisors is an integer number (236532294).

Almost surely, 2^4054919920 is an apocalyptic number.

4054919920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054919920 is an abundant number, since it is smaller than the sum of its proper divisors (5406371840).

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

4054919920 is a wasteful number, since it uses less digits than its factorization.

4054919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180673 (or 180667 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 4054919920 is about 63678.2531167431. The cubic root of 4054919920 is about 1594.6330487756.

The spelling of 4054919920 in words is "four billion, fifty-four million, nine hundred nineteen thousand, nine hundred twenty".