45077239247040 has 3584 divisors, whose sum is σ = 232026439680000. Its totient is φ = 7925995929600.

The previous prime is 45077239246951. The next prime is 45077239247041. The reversal of 45077239247040 is 4074293277054.

45077239247040 is a `hidden beast` number, since 4 + 507 + 7 + 2 + 3 + 9 + 24 + 70 + 40 = 666.

45077239247040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45077239247040² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45077239247041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5094044536 + ... + 5094053384.

It is an arithmetic number, because the mean of its divisors is an integer number (64739520000).

Almost surely, 2^{45077239247040} is an apocalyptic number.

45077239247040 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 45077239247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116013219840000).

45077239247040 is an abundant number, since it is smaller than the sum of its proper divisors (186949200432960).

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

45077239247040 is a wasteful number, since it uses less digits than its factorization.

45077239247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 45077239247040 in words is "forty-five trillion, seventy-seven billion, two hundred thirty-nine million, two hundred forty-seven thousand, forty".