445507957440 has 2016 divisors, whose sum is σ = 2046576430080. Its totient is φ = 90212548608.

The previous prime is 445507957399. The next prime is 445507957483. The reversal of 445507957440 is 44759705544.

445507957440 is a `hidden beast` number, since 4 + 4 + 5 + 507 + 95 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2667712237 + ... + 2667712403.

It is an arithmetic number, because the mean of its divisors is an integer number (1015166880).

Almost surely, 2^445507957440 is an apocalyptic number.

445507957440 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 445507957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023288215040).

445507957440 is an abundant number, since it is smaller than the sum of its proper divisors (1601068472640).

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

445507957440 is a wasteful number, since it uses less digits than its factorization.

445507957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 445507957440 in words is "four hundred forty-five billion, five hundred seven million, nine hundred fifty-seven thousand, four hundred forty".