1451341307700 has 216 divisors, whose sum is σ = 4819132602648. Its totient is φ = 364077711360.

The previous prime is 1451341307687. The next prime is 1451341307729. The reversal of 1451341307700 is 77031431541.

It is a happy number.

1451341307700 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 341 + 307 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 672157301904 + 779184005796 = 819852^2 + 882714^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32306454 + ... + 32351346.

Almost surely, 2^{1451341307700} is an apocalyptic number.

1451341307700 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 1451341307700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409566301324).

1451341307700 is an abundant number, since it is smaller than the sum of its proper divisors (3367791294948).

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

1451341307700 is a wasteful number, since it uses less digits than its factorization.

1451341307700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47043 (or 47033 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 1451341307700 in words is "one trillion, four hundred fifty-one billion, three hundred forty-one million, three hundred seven thousand, seven hundred".