3158445830400 has 1080 divisors, whose sum is σ = 14131895500800. Its totient is φ = 679450705920.

The previous prime is 3158445830369. The next prime is 3158445830431. The reversal of 3158445830400 is 40385448513.

3158445830400 is a `hidden beast` number, since 3 + 158 + 4 + 458 + 3 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3158445830369) and next prime (3158445830431).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3158445830400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61664001 + ... + 61715199.

Almost surely, 2^{3158445830400} is an apocalyptic number.

3158445830400 is a gapful number since it is divisible by the number (30) 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 3158445830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065947750400).

3158445830400 is an abundant number, since it is smaller than the sum of its proper divisors (10973449670400).

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

3158445830400 is a wasteful number, since it uses less digits than its factorization.

3158445830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51261 (or 51233 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3158445830400 in words is "three trillion, one hundred fifty-eight billion, four hundred forty-five million, eight hundred thirty thousand, four hundred".