40545930240 has 792 divisors, whose sum is σ = 156643841952. Its totient is φ = 10032906240.

The previous prime is 40545930233. The next prime is 40545930301. The reversal of 40545930240 is 4203954504.

It is a happy number.

40545930240 is a `hidden beast` number, since 4 + 0 + 545 + 93 + 0 + 24 + 0 = 666.

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 = 40545930195 and 40545930204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 571069405 + ... + 571069475.

Almost surely, 2^40545930240 is an apocalyptic number.

40545930240 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 40545930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78321920976).

40545930240 is an abundant number, since it is smaller than the sum of its proper divisors (116097911712).

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

40545930240 is an frugal number, since it uses more digits than its factorization.

40545930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 40545930240 in words is "forty billion, five hundred forty-five million, nine hundred thirty thousand, two hundred forty".