445396741440 has 896 divisors, whose sum is σ = 1814146191360. Its totient is φ = 90126286848.

The previous prime is 445396741409. The next prime is 445396741463. The reversal of 445396741440 is 44147693544.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340777267 + ... + 340778573.

Almost surely, 2^445396741440 is an apocalyptic number.

445396741440 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 445396741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907073095680).

445396741440 is an abundant number, since it is smaller than the sum of its proper divisors (1368749449920).

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

445396741440 is a wasteful number, since it uses less digits than its factorization.

445396741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 445396741440 in words is "four hundred forty-five billion, three hundred ninety-six million, seven hundred forty-one thousand, four hundred forty".