1374809436000 has 3072 divisors, whose sum is σ = 6845345095680. Its totient is φ = 262020096000.

The previous prime is 1374809435977. The next prime is 1374809436017. The reversal of 1374809436000 is 6349084731.

1374809436000 is a `hidden beast` number, since 1 + 37 + 4 + 8 + 0 + 9 + 4 + 3 + 600 + 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 511 ways as a sum of consecutive naturals, for example, 8756747922 + ... + 8756748078.

It is an arithmetic number, because the mean of its divisors is an integer number (2228302440).

Almost surely, 2^{1374809436000} is an apocalyptic number.

1374809436000 is a gapful number since it is divisible by the number (10) 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 1374809436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422672547840).

1374809436000 is an abundant number, since it is smaller than the sum of its proper divisors (5470535659680).

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

1374809436000 is a wasteful number, since it uses less digits than its factorization.

1374809436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1374809436000 in words is "one trillion, three hundred seventy-four billion, eight hundred nine million, four hundred thirty-six thousand".