442341221001400 has 48 divisors (see below), whose sum is σ = 1175363815807440. Its totient is φ = 151659847200000.

The previous prime is 442341221001389. The next prime is 442341221001413. The reversal of 442341221001400 is 4100122143244.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157979006101 + ... + 157979008900.

It is an arithmetic number, because the mean of its divisors is an integer number (24486746162655).

Almost surely, 2^{442341221001400} is an apocalyptic number.

442341221001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442341221001400 is an abundant number, since it is smaller than the sum of its proper divisors (733022594806040).

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

442341221001400 is a wasteful number, since it uses less digits than its factorization.

442341221001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315958015024 (or 315958015015 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 442341221001400 its reverse (4100122143244), we get a palindrome (446441343144644).

The spelling of 442341221001400 in words is "four hundred forty-two trillion, three hundred forty-one billion, two hundred twenty-one million, one thousand, four hundred".