445040429652 has 960 divisors, whose sum is σ = 1590679552000. Its totient is φ = 107403045120.

The previous prime is 445040429609. The next prime is 445040429653. The reversal of 445040429652 is 256924040544.

It is a happy number.

445040429652 is a `hidden beast` number, since 4 + 4 + 504 + 0 + 4 + 2 + 96 + 52 = 666.

It is a super-2 number, since 2×445040429652² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445040429598 and 445040429607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445040429653) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 850937463 + ... + 850937985.

Almost surely, 2^445040429652 is an apocalyptic number.

445040429652 is a gapful number since it is divisible by the number (42) 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 445040429652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795339776000).

445040429652 is an abundant number, since it is smaller than the sum of its proper divisors (1145639122348).

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

445040429652 is a wasteful number, since it uses less digits than its factorization.

445040429652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 445040429652 in words is "four hundred forty-five billion, forty million, four hundred twenty-nine thousand, six hundred fifty-two".