4153852946880 has 1008 divisors, whose sum is σ = 18458779379040. Its totient is φ = 876402229248.

The previous prime is 4153852946849. The next prime is 4153852946891. The reversal of 4153852946880 is 886492583514.

4153852946880 is a `hidden beast` number, since 4 + 1 + 538 + 5 + 2 + 94 + 6 + 8 + 8 + 0 = 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71518812 + ... + 71576868.

It is an arithmetic number, because the mean of its divisors is an integer number (18312281130).

Almost surely, 2^{4153852946880} is an apocalyptic number.

4153852946880 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 4153852946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229389689520).

4153852946880 is an abundant number, since it is smaller than the sum of its proper divisors (14304926432160).

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

4153852946880 is a wasteful number, since it uses less digits than its factorization.

4153852946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58123 (or 58087 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 4153852946880 in words is "four trillion, one hundred fifty-three billion, eight hundred fifty-two million, nine hundred forty-six thousand, eight hundred eighty".