4053030397920 has 1008 divisors, whose sum is σ = 16752370078080. Its totient is φ = 923518568448.

The previous prime is 4053030397901. The next prime is 4053030397943. The reversal of 4053030397920 is 297930303504.

4053030397920 is a `hidden beast` number, since 4 + 0 + 530 + 3 + 0 + 3 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 167 ways as a sum of consecutive naturals, for example, 2223274129 + ... + 2223275951.

It is an arithmetic number, because the mean of its divisors is an integer number (16619414760).

Almost surely, 2^{4053030397920} is an apocalyptic number.

4053030397920 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 4053030397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376185039040).

4053030397920 is an abundant number, since it is smaller than the sum of its proper divisors (12699339680160).

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

4053030397920 is a wasteful number, since it uses less digits than its factorization.

4053030397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 4053030397920 in words is "four trillion, fifty-three billion, thirty million, three hundred ninety-seven thousand, nine hundred twenty".