45402420132 has 192 divisors, whose sum is σ = 128324528640. Its totient is φ = 13824110592.

The previous prime is 45402420127. The next prime is 45402420163. The reversal of 45402420132 is 23102420454.

45402420132 is a `hidden beast` number, since 454 + 0 + 2 + 4 + 201 + 3 + 2 = 666.

It is a super-2 number, since 2×45402420132² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45402420096 and 45402420105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43951488 + ... + 43952520.

It is an arithmetic number, because the mean of its divisors is an integer number (668356920).

Almost surely, 2^45402420132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45402420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162264320).

45402420132 is an abundant number, since it is smaller than the sum of its proper divisors (82922108508).

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

45402420132 is a wasteful number, since it uses less digits than its factorization.

45402420132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 45402420132 its reverse (23102420454), we get a palindrome (68504840586).

The spelling of 45402420132 in words is "forty-five billion, four hundred two million, four hundred twenty thousand, one hundred thirty-two".