445756051401540 has 192 divisors, whose sum is σ = 1366178948563968. Its totient is φ = 107697476620800.

The previous prime is 445756051401523. The next prime is 445756051401541. The reversal of 445756051401540 is 45104150657544.

It is a super-2 number, since 2×445756051401540² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (445756051401541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619411407 + ... + 620130633.

It is an arithmetic number, because the mean of its divisors is an integer number (7115515357104).

Almost surely, 2^{445756051401540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445756051401540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683089474281984).

445756051401540 is an abundant number, since it is smaller than the sum of its proper divisors (920422897162428).

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

445756051401540 is a wasteful number, since it uses less digits than its factorization.

445756051401540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722418 (or 722416 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 51.

The spelling of 445756051401540 in words is "four hundred forty-five trillion, seven hundred fifty-six billion, fifty-one million, four hundred one thousand, five hundred forty".