45301213440 has 1080 divisors, whose sum is σ = 194460473592. Its totient is φ = 10032906240.

The previous prime is 45301213351. The next prime is 45301213453. The reversal of 45301213440 is 4431210354.

It is a happy number.

45301213440 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 1 + 213 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17973156096 + 27328057344 = 134064^2 + 165312^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187971720 + ... + 187971960.

Almost surely, 2^45301213440 is an apocalyptic number.

45301213440 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 45301213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97230236796).

45301213440 is an abundant number, since it is smaller than the sum of its proper divisors (149159260152).

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

45301213440 is a wasteful number, since it uses less digits than its factorization.

45301213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 45301213440 its reverse (4431210354), we get a palindrome (49732423794).

The spelling of 45301213440 in words is "forty-five billion, three hundred one million, two hundred thirteen thousand, four hundred forty".