40581978587136 has 1088 divisors, whose sum is σ = 150220703784960. Its totient is φ = 10559076433920.

The previous prime is 40581978587081. The next prime is 40581978587147. The reversal of 40581978587136 is 63178587918504.

40581978587136 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 1 + 9 + 7 + 8 + 587 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6527579100 + ... + 6527585316.

Almost surely, 2^{40581978587136} 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 40581978587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75110351892480).

40581978587136 is an abundant number, since it is smaller than the sum of its proper divisors (109638725197824).

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

40581978587136 is an equidigital number, since it uses as much as digits as its factorization.

40581978587136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 40581978587136 in words is "forty trillion, five hundred eighty-one billion, nine hundred seventy-eight million, five hundred eighty-seven thousand, one hundred thirty-six".