40045355532 has 192 divisors, whose sum is σ = 129582028800. Its totient is φ = 10412478720.

The previous prime is 40045355531. The next prime is 40045355543. The reversal of 40045355532 is 23555354004.

40045355532 is a `hidden beast` number, since 40 + 0 + 4 + 535 + 55 + 32 = 666.

It is a super-3 number, since 3×40045355532³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40045355531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669094 + ... + 726482.

It is an arithmetic number, because the mean of its divisors is an integer number (674906400).

Almost surely, 2^40045355532 is an apocalyptic number.

40045355532 is a gapful number since it is divisible by the number (42) 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 40045355532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64791014400).

40045355532 is an abundant number, since it is smaller than the sum of its proper divisors (89536673268).

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

40045355532 is a wasteful number, since it uses less digits than its factorization.

40045355532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57493 (or 57485 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 40045355532 in words is "forty billion, forty-five million, three hundred fifty-five thousand, five hundred thirty-two".