445199564960640 has 1920 divisors, whose sum is σ = 1959899109300000. Its totient is φ = 95755562090496.

The previous prime is 445199564960627. The next prime is 445199564960779. The reversal of 445199564960640 is 46069465991544.

445199564960640 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 9 + 9 + 5 + 6 + 4 + 9 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×445199564960640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7191162006 + ... + 7191223914.

Almost surely, 2^{445199564960640} is an apocalyptic number.

445199564960640 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 445199564960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979949554650000).

445199564960640 is an abundant number, since it is smaller than the sum of its proper divisors (1514699544339360).

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

445199564960640 is a wasteful number, since it uses less digits than its factorization.

445199564960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62122 (or 62094 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 445199564960640 in words is "four hundred forty-five trillion, one hundred ninety-nine billion, five hundred sixty-four million, nine hundred sixty thousand, six hundred forty".