40486346511072 has 1152 divisors, whose sum is σ = 146419104964608. Its totient is φ = 9496852992000.

The previous prime is 40486346511071. The next prime is 40486346511109. The reversal of 40486346511072 is 27011564368404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40486346511071) 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, 21297393322 + ... + 21297395222.

It is an arithmetic number, because the mean of its divisors is an integer number (127099917504).

Almost surely, 2^{40486346511072} is an apocalyptic number.

40486346511072 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 40486346511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209552482304).

40486346511072 is an abundant number, since it is smaller than the sum of its proper divisors (105932758453536).

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

40486346511072 is a wasteful number, since it uses less digits than its factorization.

40486346511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 40486346511072 in words is "forty trillion, four hundred eighty-six billion, three hundred forty-six million, five hundred eleven thousand, seventy-two".