40513142310560 has 192 divisors, whose sum is σ = 98723768008320. Its totient is φ = 15703058042880.

The previous prime is 40513142310559. The next prime is 40513142310631. The reversal of 40513142310560 is 6501324131504.

It is a super-3 number, since 3×40513142310560³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40513142310560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963863406 + ... + 2963877074.

It is an arithmetic number, because the mean of its divisors is an integer number (514186291710).

Almost surely, 2^{40513142310560} is an apocalyptic number.

40513142310560 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 40513142310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49361884004160).

40513142310560 is an abundant number, since it is smaller than the sum of its proper divisors (58210625697760).

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

40513142310560 is a wasteful number, since it uses less digits than its factorization.

40513142310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031 (or 18023 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 40513142310560 in words is "forty trillion, five hundred thirteen billion, one hundred forty-two million, three hundred ten thousand, five hundred sixty".