45382953240 has 384 divisors, whose sum is σ = 160810790400. Its totient is φ = 11362982400.

The previous prime is 45382953197. The next prime is 45382953257. The reversal of 45382953240 is 4235928354.

45382953240 is a `hidden beast` number, since 4 + 5 + 38 + 295 + 324 + 0 = 666.

It is a super-2 number, since 2×45382953240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92429395 + ... + 92429885.

It is an arithmetic number, because the mean of its divisors is an integer number (418778100).

Almost surely, 2^45382953240 is an apocalyptic number.

45382953240 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 45382953240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80405395200).

45382953240 is an abundant number, since it is smaller than the sum of its proper divisors (115427837160).

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

45382953240 is a wasteful number, since it uses less digits than its factorization.

45382953240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 45382953240 in words is "forty-five billion, three hundred eighty-two million, nine hundred fifty-three thousand, two hundred forty".