366142993920 has 960 divisors, whose sum is σ = 1478116823040. Its totient is φ = 82885017600.

The previous prime is 366142993861. The next prime is 366142993927. The reversal of 366142993920 is 29399241663.

366142993920 is a `hidden beast` number, since 366 + 142 + 99 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366142993927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227841757 + ... + 227843363.

It is an arithmetic number, because the mean of its divisors is an integer number (1539705024).

Almost surely, 2^366142993920 is an apocalyptic number.

366142993920 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 366142993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739058411520).

366142993920 is an abundant number, since it is smaller than the sum of its proper divisors (1111973829120).

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

366142993920 is a wasteful number, since it uses less digits than its factorization.

366142993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 366142993920 in words is "three hundred sixty-six billion, one hundred forty-two million, nine hundred ninety-three thousand, nine hundred twenty".