45405004123440 has 960 divisors, whose sum is σ = 174604499596800. Its totient is φ = 10493881122816.

The previous prime is 45405004123417. The next prime is 45405004123441. The reversal of 45405004123440 is 4432140050454.

45405004123440 is a `hidden beast` number, since 4 + 5 + 40 + 50 + 0 + 4 + 123 + 440 = 666.

It is a super-2 number, since 2×45405004123440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45405004123395 and 45405004123404.

It is not an unprimeable number, because it can be changed into a prime (45405004123441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2002944426 + ... + 2002967094.

It is an arithmetic number, because the mean of its divisors is an integer number (181879687080).

Almost surely, 2^{45405004123440} is an apocalyptic number.

45405004123440 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 45405004123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87302249798400).

45405004123440 is an abundant number, since it is smaller than the sum of its proper divisors (129199495473360).

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

45405004123440 is a wasteful number, since it uses less digits than its factorization.

45405004123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22934 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 45405004123440 its reverse (4432140050454), we get a palindrome (49837144173894).

It can be divided in two parts, 454050041 and 23440, that added together give a square (454073481 = 21309²).

The spelling of 45405004123440 in words is "forty-five trillion, four hundred five billion, four million, one hundred twenty-three thousand, four hundred forty".