442776999000 has 1024 divisors, whose sum is σ = 1706430136320. Its totient is φ = 93450240000.

The previous prime is 442776998927. The next prime is 442776999017. The reversal of 442776999000 is 999677244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1414622844 + ... + 1414623156.

It is an arithmetic number, because the mean of its divisors is an integer number (1666435680).

Almost surely, 2^442776999000 is an apocalyptic number.

442776999000 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 442776999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853215068160).

442776999000 is an abundant number, since it is smaller than the sum of its proper divisors (1263653137320).

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

442776999000 is a wasteful number, since it uses less digits than its factorization.

442776999000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 442776999000 in words is "four hundred forty-two billion, seven hundred seventy-six million, nine hundred ninety-nine thousand".