448190611440 has 320 divisors, whose sum is σ = 1645796662272. Its totient is φ = 100293473280.

The previous prime is 448190611417. The next prime is 448190611471. The reversal of 448190611440 is 44116091844.

It is a super-2 number, since 2×448190611440² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 448190611392 and 448190611401.

It is a congruent number.

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, 4098757 + ... + 4206683.

Almost surely, 2^448190611440 is an apocalyptic number.

448190611440 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 448190611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822898331136).

448190611440 is an abundant number, since it is smaller than the sum of its proper divisors (1197606050832).

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

448190611440 is a wasteful number, since it uses less digits than its factorization.

448190611440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107989 (or 107961 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 448190611440 in words is "four hundred forty-eight billion, one hundred ninety million, six hundred eleven thousand, four hundred forty".