45413141200 has 360 divisors, whose sum is σ = 133620822720. Its totient is φ = 14760345600.

The previous prime is 45413141183. The next prime is 45413141261. The reversal of 45413141200 is 214131454.

It is a super-2 number, since 2×45413141200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59054416 + ... + 59055184.

It is an arithmetic number, because the mean of its divisors is an integer number (371168952).

Almost surely, 2^45413141200 is an apocalyptic number.

45413141200 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 45413141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66810411360).

45413141200 is an abundant number, since it is smaller than the sum of its proper divisors (88207681520).

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

45413141200 is a wasteful number, since it uses less digits than its factorization.

45413141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 45413141200 its reverse (214131454), we get a palindrome (45627272654).

The spelling of 45413141200 in words is "forty-five billion, four hundred thirteen million, one hundred forty-one thousand, two hundred".