1308690240400 has 135 divisors (see below), whose sum is σ = 3215089789939. Its totient is φ = 511917322240.

The previous prime is 1308690240383. The next prime is 1308690240409. The reversal of 1308690240400 is 40420968031.

The square root of 1308690240400 is 1143980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 121357476496 + 1187332763904 = 348364^2 + 1089648^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1308690240400.

It is not an unprimeable number, because it can be changed into a prime (1308690240409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1075340592 + ... + 1075341808.

Almost surely, 2^{1308690240400} is an apocalyptic number.

1308690240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1308690240400 is the 1143980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1308690240400

1308690240400 is an abundant number, since it is smaller than the sum of its proper divisors (1906399549539).

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

1308690240400 is an frugal number, since it uses more digits than its factorization.

1308690240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1308690240400 in words is "one trillion, three hundred eight billion, six hundred ninety million, two hundred forty thousand, four hundred".