34126142400 has 504 divisors, whose sum is σ = 143765381760. Its totient is φ = 7799639040.

The previous prime is 34126142381. The next prime is 34126142461. The reversal of 34126142400 is 424162143.

It is a happy number.

34126142400 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 614 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2715331 + ... + 2727869.

Almost surely, 2^34126142400 is an apocalyptic number.

34126142400 is a gapful number since it is divisible by the number (30) 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 34126142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71882690880).

34126142400 is an abundant number, since it is smaller than the sum of its proper divisors (109639239360).

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

34126142400 is a wasteful number, since it uses less digits than its factorization.

34126142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 34126142400 in words is "thirty-four billion, one hundred twenty-six million, one hundred forty-two thousand, four hundred".