42012123311400 has 768 divisors, whose sum is σ = 147501999267840. Its totient is φ = 9802462924800.

The previous prime is 42012123311357. The next prime is 42012123311441. The reversal of 42012123311400 is 411332121024.

It is a super-3 number, since 3×42012123311400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8876423434 + ... + 8876428166.

It is an arithmetic number, because the mean of its divisors is an integer number (192059894880).

Almost surely, 2^{42012123311400} is an apocalyptic number.

42012123311400 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 42012123311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73750999633920).

42012123311400 is an abundant number, since it is smaller than the sum of its proper divisors (105489875956440).

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

42012123311400 is a wasteful number, since it uses less digits than its factorization.

42012123311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42012123311400 its reverse (411332121024), we get a palindrome (42423455432424).

The spelling of 42012123311400 in words is "forty-two trillion, twelve billion, one hundred twenty-three million, three hundred eleven thousand, four hundred".