40134868824600 has 576 divisors, whose sum is σ = 149452502284800. Its totient is φ = 9570629376000.

The previous prime is 40134868824599. The next prime is 40134868824623. The reversal of 40134868824600 is 642886843104.

It is a happy number.

40134868824600 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 8 + 6 + 8 + 8 + 24 + 600 = 666.

It is a super-2 number, since 2×40134868824600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 617113684 + ... + 617178716.

It is an arithmetic number, because the mean of its divisors is an integer number (259466149800).

Almost surely, 2^{40134868824600} is an apocalyptic number.

40134868824600 is a gapful number since it is divisible by the number (40) 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 40134868824600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74726251142400).

40134868824600 is an abundant number, since it is smaller than the sum of its proper divisors (109317633460200).

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

40134868824600 is a wasteful number, since it uses less digits than its factorization.

40134868824600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65576 (or 65564 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 40134868824600 in words is "forty trillion, one hundred thirty-four billion, eight hundred sixty-eight million, eight hundred twenty-four thousand, six hundred".