4153785020 has 192 divisors, whose sum is σ = 11252183040. Its totient is φ = 1250380800.

The previous prime is 4153785017. The next prime is 4153785023. The reversal of 4153785020 is 205873514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4153785017) and next prime (4153785023).

It is a super-4 number, since 4×4153785020⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153785023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15327485 + ... + 15327755.

It is an arithmetic number, because the mean of its divisors is an integer number (58605120).

Almost surely, 2^4153785020 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 4153785020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626091520).

4153785020 is an abundant number, since it is smaller than the sum of its proper divisors (7098398020).

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

4153785020 is a wasteful number, since it uses less digits than its factorization.

4153785020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 4153785020 is about 64449.8643908581. The cubic root of 4153785020 is about 1607.4889834106.

The spelling of 4153785020 in words is "four billion, one hundred fifty-three million, seven hundred eighty-five thousand, twenty".