4045269012480 has 832 divisors, whose sum is σ = 14721059162880. Its totient is φ = 1053557784576.

The previous prime is 4045269012451. The next prime is 4045269012497. The reversal of 4045269012480 is 842109625404.

It is a happy number.

4045269012480 is a `hidden beast` number, since 40 + 4 + 526 + 9 + 0 + 1 + 2 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5075619442 + ... + 5075620238.

Almost surely, 2^{4045269012480} is an apocalyptic number.

4045269012480 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 4045269012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360529581440).

4045269012480 is an abundant number, since it is smaller than the sum of its proper divisors (10675790150400).

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

4045269012480 is a wasteful number, since it uses less digits than its factorization.

4045269012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4045269012480 in words is "four trillion, forty-five billion, two hundred sixty-nine million, twelve thousand, four hundred eighty".