45410531040 has 960 divisors, whose sum is σ = 192682119168. Its totient is φ = 9853747200.

The previous prime is 45410531029. The next prime is 45410531041. The reversal of 45410531040 is 4013501454.

It is a happy number.

45410531040 is a `hidden beast` number, since 454 + 105 + 3 + 104 + 0 = 666.

45410531040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 45410530995 and 45410531013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45410531041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 188425320 + ... + 188425560.

Almost surely, 2^45410531040 is an apocalyptic number.

45410531040 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 45410531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96341059584).

45410531040 is an abundant number, since it is smaller than the sum of its proper divisors (147271588128).

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

45410531040 is a wasteful number, since it uses less digits than its factorization.

45410531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 45410531040 in words is "forty-five billion, four hundred ten million, five hundred thirty-one thousand, forty".