40724955942704 has 60 divisors (see below), whose sum is σ = 86753063360040. Its totient is φ = 18506389440000.

The previous prime is 40724955942683. The next prime is 40724955942721.

40724955942704 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×40724955942704³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4425704 + ... + 10051704.

It is an arithmetic number, because the mean of its divisors is an integer number (1445884389334).

Almost surely, 2^{40724955942704} is an apocalyptic number.

40724955942704 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 40724955942704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43376531680020).

40724955942704 is an abundant number, since it is smaller than the sum of its proper divisors (46028107417336).

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

40724955942704 is a wasteful number, since it uses less digits than its factorization.

40724955942704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629770 (or 5629753 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 40724955942704 in words is "forty trillion, seven hundred twenty-four billion, nine hundred fifty-five million, nine hundred forty-two thousand, seven hundred four".