42146554424400 has 330 divisors, whose sum is σ = 151884873226670. Its totient is φ = 11239074881280.

The previous prime is 42146554424333. The next prime is 42146554424411. The reversal of 42146554424400 is 442445564124.

42146554424400 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 65 + 544 + 2 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 766976595984 + 41379577828416 = 875772^2 + 6432696^2 .

It is a super-2 number, since 2×42146554424400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 22727406 + ... + 24511794.

Almost surely, 2^{42146554424400} is an apocalyptic number.

42146554424400 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 42146554424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75942436613335).

42146554424400 is an abundant number, since it is smaller than the sum of its proper divisors (109738318802270).

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

42146554424400 is an equidigital number, since it uses as much as digits as its factorization.

42146554424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784437 (or 1784399 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 42146554424400 its reverse (442445564124), we get a palindrome (42588999988524).

The spelling of 42146554424400 in words is "forty-two trillion, one hundred forty-six billion, five hundred fifty-four million, four hundred twenty-four thousand, four hundred".