126935438400 has 189 divisors, whose sum is σ = 451310526511. Its totient is φ = 33838049280.

The previous prime is 126935438387. The next prime is 126935438411. The reversal of 126935438400 is 4834539621.

The square root of 126935438400 is 356280.

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

126935438400 is a `hidden beast` number, since 1 + 2 + 69 + 3 + 543 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71571230784 + 55364207616 = 267528^2 + 235296^2 .

It is a super-2 number, since 2×126935438400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42752116 + ... + 42755084.

Almost surely, 2^126935438400 is an apocalyptic number.

126935438400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126935438400 is the 356280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126935438400

126935438400 is an abundant number, since it is smaller than the sum of its proper divisors (324375088111).

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

126935438400 is an frugal number, since it uses more digits than its factorization.

126935438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 126935438400 in words is "one hundred twenty-six billion, nine hundred thirty-five million, four hundred thirty-eight thousand, four hundred".