374134464000 has 1040 divisors, whose sum is σ = 1526607956016. Its totient is φ = 90699264000.

The previous prime is 374134463957. The next prime is 374134464013. The reversal of 374134464000 is 464431473.

374134464000 is a `hidden beast` number, since 3 + 7 + 4 + 1 + 3 + 4 + 4 + 640 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 34012223995 + ... + 34012224005.

Almost surely, 2^374134464000 is an apocalyptic number.

374134464000 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 374134464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763303978008).

374134464000 is an abundant number, since it is smaller than the sum of its proper divisors (1152473492016).

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

374134464000 is an frugal number, since it uses more digits than its factorization.

374134464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 374134464000 its reverse (464431473), we get a palindrome (374598895473).

The spelling of 374134464000 in words is "three hundred seventy-four billion, one hundred thirty-four million, four hundred sixty-four thousand".