45775210140 has 432 divisors, whose sum is σ = 164595019680. Its totient is φ = 10176921600.

The previous prime is 45775210093. The next prime is 45775210189. The reversal of 45775210140 is 4101257754.

45775210140 is a `hidden beast` number, since 457 + 7 + 52 + 10 + 140 = 666.

It is a super-2 number, since 2×45775210140² (a number of 22 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 = 45775210095 and 45775210104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56582056 + ... + 56582864.

It is an arithmetic number, because the mean of its divisors is an integer number (381006990).

Almost surely, 2^45775210140 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 45775210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82297509840).

45775210140 is an abundant number, since it is smaller than the sum of its proper divisors (118819809540).

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

45775210140 is a wasteful number, since it uses less digits than its factorization.

45775210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 45775210140 its reverse (4101257754), we get a palindrome (49876467894).

The spelling of 45775210140 in words is "forty-five billion, seven hundred seventy-five million, two hundred ten thousand, one hundred forty".