126062434253400 has 384 divisors, whose sum is σ = 403751868226560. Its totient is φ = 32519718400000.

The previous prime is 126062434253389. The next prime is 126062434253461. The reversal of 126062434253400 is 4352434260621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1671855700 + ... + 1671931100.

It is an arithmetic number, because the mean of its divisors is an integer number (1051437156840).

Almost surely, 2^{126062434253400} is an apocalyptic number.

126062434253400 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 126062434253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201875934113280).

126062434253400 is an abundant number, since it is smaller than the sum of its proper divisors (277689433973160).

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

126062434253400 is a wasteful number, since it uses less digits than its factorization.

126062434253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76155 (or 76146 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 126062434253400 in words is "one hundred twenty-six trillion, sixty-two billion, four hundred thirty-four million, two hundred fifty-three thousand, four hundred".