446879963040 has 384 divisors, whose sum is σ = 1681231749120. Its totient is φ = 97644331008.

The previous prime is 446879963027. The next prime is 446879963093. The reversal of 446879963040 is 40369978644.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6757656 + ... + 6823464.

It is an arithmetic number, because the mean of its divisors is an integer number (4378207680).

Almost surely, 2^446879963040 is an apocalyptic number.

446879963040 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 446879963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840615874560).

446879963040 is an abundant number, since it is smaller than the sum of its proper divisors (1234351786080).

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

446879963040 is a wasteful number, since it uses less digits than its factorization.

446879963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65924 (or 65916 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 446879963040 in words is "four hundred forty-six billion, eight hundred seventy-nine million, nine hundred sixty-three thousand, forty".