4123127520400 has 720 divisors, whose sum is σ = 12352432608000. Its totient is φ = 1314844876800.

The previous prime is 4123127520377. The next prime is 4123127520443. The reversal of 4123127520400 is 40257213214.

It is a happy 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, 7913872140 + ... + 7913872660.

It is an arithmetic number, because the mean of its divisors is an integer number (17156156400).

Almost surely, 2^{4123127520400} is an apocalyptic number.

4123127520400 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 4123127520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176216304000).

4123127520400 is an abundant number, since it is smaller than the sum of its proper divisors (8229305087600).

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

4123127520400 is a wasteful number, since it uses less digits than its factorization.

4123127520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 4123127520400 in words is "four trillion, one hundred twenty-three billion, one hundred twenty-seven million, five hundred twenty thousand, four hundred".