40685515200000 has 2880 divisors, whose sum is σ = 175710103208640. Its totient is φ = 8945664000000.

The previous prime is 40685515199993. The next prime is 40685515200023. The reversal of 40685515200000 is 251558604.

40685515200000 is a `hidden beast` number, since 4 + 0 + 6 + 85 + 51 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×40685515200000² (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78091199740 + ... + 78091200260.

It is an arithmetic number, because the mean of its divisors is an integer number (61010452503).

Almost surely, 2^{40685515200000} is an apocalyptic number.

40685515200000 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 40685515200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87855051604320).

40685515200000 is an abundant number, since it is smaller than the sum of its proper divisors (135024588008640).

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

40685515200000 is a wasteful number, since it uses less digits than its factorization.

40685515200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 40685515200000 its reverse (251558604), we get a palindrome (40685766758604).

The spelling of 40685515200000 in words is "forty trillion, six hundred eighty-five billion, five hundred fifteen million, two hundred thousand".