1340657049600 has 2016 divisors, whose sum is σ = 5679076515840. Its totient is φ = 310542336000.

The previous prime is 1340657049547. The next prime is 1340657049691. The reversal of 1340657049600 is 69407560431.

1340657049600 is a `hidden beast` number, since 1 + 34 + 0 + 6 + 5 + 7 + 0 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×1340657049600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16970342361 + ... + 16970342439.

It is an arithmetic number, because the mean of its divisors is an integer number (2817002240).

Almost surely, 2^{1340657049600} is an apocalyptic number.

1340657049600 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 1340657049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839538257920).

1340657049600 is an abundant number, since it is smaller than the sum of its proper divisors (4338419466240).

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

1340657049600 is an equidigital number, since it uses as much as digits as its factorization.

1340657049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1340657049600 in words is "one trillion, three hundred forty billion, six hundred fifty-seven million, forty-nine thousand, six hundred".