45126014040 has 192 divisors, whose sum is σ = 147887195040. Its totient is φ = 11933337600.

The previous prime is 45126014033. The next prime is 45126014057. The reversal of 45126014040 is 4041062154.

45126014040 is a `hidden beast` number, since 4 + 5 + 12 + 601 + 4 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45126013995 and 45126014013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23737090 + ... + 23738990.

Almost surely, 2^45126014040 is an apocalyptic number.

45126014040 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 45126014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73943597520).

45126014040 is an abundant number, since it is smaller than the sum of its proper divisors (102761181000).

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

45126014040 is a wasteful number, since it uses less digits than its factorization.

45126014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45126014040 its reverse (4041062154), we get a palindrome (49167076194).

The spelling of 45126014040 in words is "forty-five billion, one hundred twenty-six million, fourteen thousand, forty".