40241101824 has 396 divisors, whose sum is σ = 147471988248. Its totient is φ = 10450944000.

The previous prime is 40241101793. The next prime is 40241101843. The reversal of 40241101824 is 42810114204.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×40241101824² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4963374 + ... + 4971474.

Almost surely, 2^40241101824 is an apocalyptic number.

40241101824 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 40241101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735994124).

40241101824 is an abundant number, since it is smaller than the sum of its proper divisors (107230886424).

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

40241101824 is a wasteful number, since it uses less digits than its factorization.

40241101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 40241101824 in words is "forty billion, two hundred forty-one million, one hundred one thousand, eight hundred twenty-four".