126264474400 has 36 divisors (see below), whose sum is σ = 308243150082. Its totient is φ = 50505789440.

The previous prime is 126264474367. The next prime is 126264474433. The reversal of 126264474400 is 4474462621.

It is an interprime number because it is at equal distance from previous prime (126264474367) and next prime (126264474433).

It can be written as a sum of positive squares in 3 ways, for example, as 51545345296 + 74719129104 = 227036^2 + 273348^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78914497 + ... + 78916096.

Almost surely, 2^126264474400 is an apocalyptic number.

126264474400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126264474400 is an abundant number, since it is smaller than the sum of its proper divisors (181978675682).

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

126264474400 is a wasteful number, since it uses less digits than its factorization.

126264474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157830613 (or 157830600 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 126264474400 in words is "one hundred twenty-six billion, two hundred sixty-four million, four hundred seventy-four thousand, four hundred".