40311009303552 has 704 divisors, whose sum is σ = 135771057856000. Its totient is φ = 11712414744576.

The previous prime is 40311009303527. The next prime is 40311009303589. The reversal of 40311009303552 is 25530390011304.

40311009303552 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 10 + 0 + 93 + 0 + 3 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2137485099 + ... + 2137503957.

Almost surely, 2^{40311009303552} 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 40311009303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67885528928000).

40311009303552 is an abundant number, since it is smaller than the sum of its proper divisors (95460048552448).

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

40311009303552 is a wasteful number, since it uses less digits than its factorization.

40311009303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19209 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 40311009303552 its reverse (25530390011304), we get a palindrome (65841399314856).

The spelling of 40311009303552 in words is "forty trillion, three hundred eleven billion, nine million, three hundred three thousand, five hundred fifty-two".