40355190540 has 576 divisors, whose sum is σ = 149911437312. Its totient is φ = 8592998400.

The previous prime is 40355190539. The next prime is 40355190541. The reversal of 40355190540 is 4509155304.

40355190540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40355190539) and next prime (40355190541).

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 = 40355190495 and 40355190504.

It is not an unprimeable number, because it can be changed into a prime (40355190541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180964869 + ... + 180965091.

It is an arithmetic number, because the mean of its divisors is an integer number (260262912).

Almost surely, 2^40355190540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40355190540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74955718656).

40355190540 is an abundant number, since it is smaller than the sum of its proper divisors (109556246772).

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

40355190540 is a wasteful number, since it uses less digits than its factorization.

40355190540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 40355190540 in words is "forty billion, three hundred fifty-five million, one hundred ninety thousand, five hundred forty".