126469391400 has 288 divisors, whose sum is σ = 465030727200. Its totient is φ = 30547238400.

The previous prime is 126469391387. The next prime is 126469391401. The reversal of 126469391400 is 4193964621.

126469391400 is a `hidden beast` number, since 12 + 6 + 469 + 39 + 140 + 0 = 666.

It is a super-3 number, since 3×126469391400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (126469391401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5473071 + ... + 5496129.

It is an arithmetic number, because the mean of its divisors is an integer number (1614690025).

Almost surely, 2^126469391400 is an apocalyptic number.

126469391400 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 126469391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232515363600).

126469391400 is an abundant number, since it is smaller than the sum of its proper divisors (338561335800).

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

126469391400 is a wasteful number, since it uses less digits than its factorization.

126469391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23369 (or 23357 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 126469391400 in words is "one hundred twenty-six billion, four hundred sixty-nine million, three hundred ninety-one thousand, four hundred".