40061582892576 has 288 divisors, whose sum is σ = 133260550270848. Its totient is φ = 11177249771520.

The previous prime is 40061582892557. The next prime is 40061582892589. The reversal of 40061582892576 is 67529828516004.

40061582892576 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 1 + 58 + 2 + 8 + 9 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369323340 + ... + 369431796.

It is an arithmetic number, because the mean of its divisors is an integer number (462710243996).

Almost surely, 2^{40061582892576} 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 40061582892576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66630275135424).

40061582892576 is an abundant number, since it is smaller than the sum of its proper divisors (93198967378272).

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

40061582892576 is a wasteful number, since it uses less digits than its factorization.

40061582892576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112784 (or 112773 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 40061582892576 in words is "forty trillion, sixty-one billion, five hundred eighty-two million, eight hundred ninety-two thousand, five hundred seventy-six".