40421444234400 has 144 divisors (see below), whose sum is σ = 146190890059200. Its totient is φ = 10779051790080.

The previous prime is 40421444234389. The next prime is 40421444234407. The reversal of 40421444234400 is 443244412404.

It is a happy number.

40421444234400 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 14 + 4 + 4 + 234 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40421444234407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935659980 + ... + 935703179.

It is an arithmetic number, because the mean of its divisors is an integer number (1015214514300).

Almost surely, 2^{40421444234400} is an apocalyptic number.

40421444234400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40421444234400 is an abundant number, since it is smaller than the sum of its proper divisors (105769445824800).

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

40421444234400 is a wasteful number, since it uses less digits than its factorization.

40421444234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871363188 (or 1871363169 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40421444234400 its reverse (443244412404), we get a palindrome (40864688646804).

The spelling of 40421444234400 in words is "forty trillion, four hundred twenty-one billion, four hundred forty-four million, two hundred thirty-four thousand, four hundred".