40724824842240 has 896 divisors, whose sum is σ = 162650734359552. Its totient is φ = 8452696965120.

The previous prime is 40724824842209. The next prime is 40724824842281. The reversal of 40724824842240 is 4224842842704.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×40724824842240² (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 10909407414 + ... + 10909411146.

Almost surely, 2^{40724824842240} is an apocalyptic number.

40724824842240 is a gapful number since it is divisible by the number (40) 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 40724824842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81325367179776).

40724824842240 is an abundant number, since it is smaller than the sum of its proper divisors (121925909517312).

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

40724824842240 is a wasteful number, since it uses less digits than its factorization.

40724824842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 7340032, while the sum is 51.

The spelling of 40724824842240 in words is "forty trillion, seven hundred twenty-four billion, eight hundred twenty-four million, eight hundred forty-two thousand, two hundred forty".