12949142400 has 288 divisors, whose sum is σ = 46347837120. Its totient is φ = 3442483200.

The previous prime is 12949142383. The next prime is 12949142411. The reversal of 12949142400 is 424194921.

12949142400 is a `hidden beast` number, since 129 + 4 + 91 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 15004369 + ... + 15005231.

It is an arithmetic number, because the mean of its divisors is an integer number (160929990).

Almost surely, 2^12949142400 is an apocalyptic number.

12949142400 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 12949142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173918560).

12949142400 is an abundant number, since it is smaller than the sum of its proper divisors (33398694720).

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

12949142400 is a wasteful number, since it uses less digits than its factorization.

12949142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12949142400 in words is "twelve billion, nine hundred forty-nine million, one hundred forty-two thousand, four hundred".