372042028188000 has 1728 divisors, whose sum is σ = 1429238392598016. Its totient is φ = 91477216512000.

The previous prime is 372042028187941. The next prime is 372042028188043. The reversal of 372042028188000 is 881820240273.

372042028188000 is a `hidden beast` number, since 3 + 7 + 20 + 420 + 28 + 188 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 244282355239 + ... + 244282356761.

It is an arithmetic number, because the mean of its divisors is an integer number (827105551272).

Almost surely, 2^{372042028188000} is an apocalyptic number.

372042028188000 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 372042028188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714619196299008).

372042028188000 is an abundant number, since it is smaller than the sum of its proper divisors (1057196364410016).

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

372042028188000 is a wasteful number, since it uses less digits than its factorization.

372042028188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 372042028188000 in words is "three hundred seventy-two trillion, forty-two billion, twenty-eight million, one hundred eighty-eight thousand".