4162954000 has 80 divisors (see below), whose sum is σ = 10503792000. Its totient is φ = 1592764800.

The previous prime is 4162953989. The next prime is 4162954007. The reversal of 4162954000 is 4592614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4162954000² = 34660372012232000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4162954007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 91249.

It is an arithmetic number, because the mean of its divisors is an integer number (131297400).

Almost surely, 2^4162954000 is an apocalyptic number.

4162954000 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 4162954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251896000).

4162954000 is an abundant number, since it is smaller than the sum of its proper divisors (6340838000).

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

4162954000 is a wasteful number, since it uses less digits than its factorization.

4162954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90545 (or 90529 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 4162954000 is about 64520.9578354196. The cubic root of 4162954000 is about 1608.6708936175.

The spelling of 4162954000 in words is "four billion, one hundred sixty-two million, nine hundred fifty-four thousand".