126778214400 has 288 divisors, whose sum is σ = 441179575200. Its totient is φ = 32027443200.

The previous prime is 126778214383. The next prime is 126778214401. The reversal of 126778214400 is 4412877621.

It is not an unprimeable number, because it can be changed into a prime (126778214401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2896680 + ... + 2940120.

It is an arithmetic number, because the mean of its divisors is an integer number (1531873525).

Almost surely, 2^126778214400 is an apocalyptic number.

126778214400 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 126778214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220589787600).

126778214400 is an abundant number, since it is smaller than the sum of its proper divisors (314401360800).

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

126778214400 is a wasteful number, since it uses less digits than its factorization.

126778214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43495 (or 43470 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 126778214400 in words is "one hundred twenty-six billion, seven hundred seventy-eight million, two hundred fourteen thousand, four hundred".