4162012066400 has 72 divisors (see below), whose sum is σ = 10758189166200. Its totient is φ = 1566875125760.

The previous prime is 4162012066339. The next prime is 4162012066409. The reversal of 4162012066400 is 46602102614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162012066409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153001550 + ... + 153028749.

It is an arithmetic number, because the mean of its divisors is an integer number (149419293975).

Almost surely, 2^{4162012066400} is an apocalyptic number.

4162012066400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4162012066400 is an abundant number, since it is smaller than the sum of its proper divisors (6596177099800).

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

4162012066400 is a wasteful number, since it uses less digits than its factorization.

4162012066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306030336 (or 306030323 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 4162012066400 in words is "four trillion, one hundred sixty-two billion, twelve million, sixty-six thousand, four hundred".