4051162442600 has 288 divisors, whose sum is σ = 11769490811520. Its totient is φ = 1269670671360.

The previous prime is 4051162442563. The next prime is 4051162442611. The reversal of 4051162442600 is 62442611504.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24286682 + ... + 24452918.

It is an arithmetic number, because the mean of its divisors is an integer number (40866287540).

Almost surely, 2^{4051162442600} is an apocalyptic number.

4051162442600 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 4051162442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884745405760).

4051162442600 is an abundant number, since it is smaller than the sum of its proper divisors (7718328368920).

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

4051162442600 is a wasteful number, since it uses less digits than its factorization.

4051162442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166389 (or 166367 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 4051162442600 in words is "four trillion, fifty-one billion, one hundred sixty-two million, four hundred forty-two thousand, six hundred".