4162298400000 has 1944 divisors, whose sum is σ = 17049517620408. Its totient is φ = 1007769600000.

The previous prime is 4162298399983. The next prime is 4162298400037. The reversal of 4162298400000 is 48922614.

4162298400000 is a `hidden beast` number, since 4 + 162 + 2 + 98 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3343982766336 + 818315633664 = 1828656^2 + 904608^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68234399970 + ... + 68234400030.

Almost surely, 2^{4162298400000} is an apocalyptic number.

4162298400000 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 4162298400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524758810204).

4162298400000 is an abundant number, since it is smaller than the sum of its proper divisors (12887219220408).

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

4162298400000 is an frugal number, since it uses more digits than its factorization.

4162298400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4162298400000 in words is "four trillion, one hundred sixty-two billion, two hundred ninety-eight million, four hundred thousand".