40091524644864 has 1920 divisors, whose sum is σ = 146110328340480. Its totient is φ = 9469978214400.

The previous prime is 40091524644817. The next prime is 40091524644889. The reversal of 40091524644864 is 46844642519004.

It is a super-4 number, since 4×40091524644864⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223974997927 + ... + 223974998105.

It is an arithmetic number, because the mean of its divisors is an integer number (76099129344).

Almost surely, 2^{40091524644864} is an apocalyptic number.

40091524644864 is a gapful number since it is divisible by the number (44) 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 40091524644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73055164170240).

40091524644864 is an abundant number, since it is smaller than the sum of its proper divisors (106018803695616).

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

40091524644864 is a wasteful number, since it uses less digits than its factorization.

40091524644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 40091524644864 in words is "forty trillion, ninety-one billion, five hundred twenty-four million, six hundred forty-four thousand, eight hundred sixty-four".