1340640154800 has 360 divisors, whose sum is σ = 4709761056000. Its totient is φ = 353122260480.

The previous prime is 1340640154781. The next prime is 1340640154807. The reversal of 1340640154800 is 84510460431.

1340640154800 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 640 + 1 + 5 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1340640154807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99572869 + ... + 99586331.

It is an arithmetic number, because the mean of its divisors is an integer number (13082669600).

Almost surely, 2^{1340640154800} is an apocalyptic number.

1340640154800 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 1340640154800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354880528000).

1340640154800 is an abundant number, since it is smaller than the sum of its proper divisors (3369120901200).

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

1340640154800 is a wasteful number, since it uses less digits than its factorization.

1340640154800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1340640154800 in words is "one trillion, three hundred forty billion, six hundred forty million, one hundred fifty-four thousand, eight hundred".