4158295752000 has 448 divisors, whose sum is σ = 14796752914944. Its totient is φ = 1022898585600.

The previous prime is 4158295751993. The next prime is 4158295752001. The reversal of 4158295752000 is 2575928514.

It is a super-2 number, since 2×4158295752000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158295752001) 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, 596852517 + ... + 596859483.

It is an arithmetic number, because the mean of its divisors is an integer number (33028466328).

Almost surely, 2^{4158295752000} is an apocalyptic number.

4158295752000 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 4158295752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398376457472).

4158295752000 is an abundant number, since it is smaller than the sum of its proper divisors (10638457162944).

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

4158295752000 is a wasteful number, since it uses less digits than its factorization.

4158295752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 4158295752000 in words is "four trillion, one hundred fifty-eight billion, two hundred ninety-five million, seven hundred fifty-two thousand".