126425591042400 has 432 divisors, whose sum is σ = 482513821826400. Its totient is φ = 30963758284800.

The previous prime is 126425591042381. The next prime is 126425591042431. The reversal of 126425591042400 is 4240195524621.

126425591042400 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 559 + 10 + 42 + 40 + 0 = 666.

It is a super-2 number, since 2×126425591042400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15232680 + ... + 22020120.

Almost surely, 2^{126425591042400} is an apocalyptic number.

126425591042400 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 126425591042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241256910913200).

126425591042400 is an abundant number, since it is smaller than the sum of its proper divisors (356088230784000).

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

126425591042400 is a wasteful number, since it uses less digits than its factorization.

126425591042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787679 (or 6787663 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 126425591042400 in words is "one hundred twenty-six trillion, four hundred twenty-five billion, five hundred ninety-one million, forty-two thousand, four hundred".