40257241511136 has 192 divisors, whose sum is σ = 118055541381120. Its totient is φ = 11931753000960.

The previous prime is 40257241511101. The next prime is 40257241511159. The reversal of 40257241511136 is 63111514275204.

It is a happy number.

It is a congruent number.

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, 937260 + ... + 9021803.

It is an arithmetic number, because the mean of its divisors is an integer number (614872611360).

Almost surely, 2^{40257241511136} 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 40257241511136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59027770690560).

40257241511136 is an abundant number, since it is smaller than the sum of its proper divisors (77798299869984).

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

40257241511136 is a wasteful number, since it uses less digits than its factorization.

40257241511136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959209 (or 9959201 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 40257241511136 in words is "forty trillion, two hundred fifty-seven billion, two hundred forty-one million, five hundred eleven thousand, one hundred thirty-six".