40523233973040 has 1280 divisors, whose sum is σ = 176563699200000. Its totient is φ = 8488166141952.

The previous prime is 40523233973039. The next prime is 40523233973071. The reversal of 40523233973040 is 4037933232504.

40523233973040 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 3 + 2 + 339 + 7 + 304 + 0 = 666.

40523233973040 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1338755026 + ... + 1338785294.

It is an arithmetic number, because the mean of its divisors is an integer number (137940390000).

Almost surely, 2^{40523233973040} is an apocalyptic number.

40523233973040 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 40523233973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88281849600000).

40523233973040 is an abundant number, since it is smaller than the sum of its proper divisors (136040465226960).

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

40523233973040 is a wasteful number, since it uses less digits than its factorization.

40523233973040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30464 (or 30438 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 40523233973040 in words is "forty trillion, five hundred twenty-three billion, two hundred thirty-three million, nine hundred seventy-three thousand, forty".