13700954190400 has 567 divisors, whose sum is σ = 36106145752131. Its totient is φ = 5116925952000.

The previous prime is 13700954190361. The next prime is 13700954190401. The reversal of 13700954190400 is 409145900731.

The square root of 13700954190400 is 3701480.

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

It can be written as a sum of positive squares in 40 ways, for example, as 5900507377216 + 7800446813184 = 2429096^2 + 2792928^2 .

It is a super-2 number, since 2×13700954190400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13700954190401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 224605806370 + ... + 224605806430.

Almost surely, 2^{13700954190400} is an apocalyptic number.

13700954190400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13700954190400 is the 3701480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13700954190400

13700954190400 is an abundant number, since it is smaller than the sum of its proper divisors (22405191561731).

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

13700954190400 is an frugal number, since it uses more digits than its factorization.

13700954190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 13700954190400 in words is "thirteen trillion, seven hundred billion, nine hundred fifty-four million, one hundred ninety thousand, four hundred".