40011000125760 has 336 divisors, whose sum is σ = 143728452825984. Its totient is φ = 10196909420544.

The previous prime is 40011000125699. The next prime is 40011000125773. The reversal of 40011000125760 is 6752100011004.

It is a happy number.

40011000125760 is a `hidden beast` number, since 400 + 1 + 1 + 0 + 0 + 0 + 1 + 257 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 76777434 + ... + 77296806.

Almost surely, 2^{40011000125760} is an apocalyptic number.

40011000125760 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 40011000125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71864226412992).

40011000125760 is an abundant number, since it is smaller than the sum of its proper divisors (103717452700224).

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

40011000125760 is a wasteful number, since it uses less digits than its factorization.

40011000125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520582 (or 520569 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 40011000125760 its reverse (6752100011004), we get a palindrome (46763100136764).

The spelling of 40011000125760 in words is "forty trillion, eleven billion, one hundred twenty-five thousand, seven hundred sixty".