442011040400 has 60 divisors (see below), whose sum is σ = 1066609856112. Its totient is φ = 176025505920.

The previous prime is 442011040309. The next prime is 442011040433. The reversal of 442011040400 is 4040110244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2343182 + ... + 2524781.

Almost surely, 2^442011040400 is an apocalyptic number.

442011040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442011040400 is an abundant number, since it is smaller than the sum of its proper divisors (624598815712).

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

442011040400 is a wasteful number, since it uses less digits than its factorization.

442011040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868208 (or 4868197 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 442011040400 its reverse (4040110244), we get a palindrome (446051150644).

The spelling of 442011040400 in words is "four hundred forty-two billion, eleven million, forty thousand, four hundred".