42004400341200 has 480 divisors, whose sum is σ = 148950591885312. Its totient is φ = 10033030656000.

The previous prime is 42004400341133. The next prime is 42004400341213. The reversal of 42004400341200 is 214300440024.

It is a happy number.

It is a super-3 number, since 3×42004400341200³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954905607 + ... + 954949593.

Almost surely, 2^{42004400341200} is an apocalyptic number.

42004400341200 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 42004400341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74475295942656).

42004400341200 is an abundant number, since it is smaller than the sum of its proper divisors (106946191544112).

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

42004400341200 is a wasteful number, since it uses less digits than its factorization.

42004400341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45083 (or 45072 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42004400341200 its reverse (214300440024), we get a palindrome (42218700781224).

The spelling of 42004400341200 in words is "forty-two trillion, four billion, four hundred million, three hundred forty-one thousand, two hundred".