40017372123040 has 576 divisors, whose sum is σ = 115486491052800. Its totient is φ = 13027354509312.

The previous prime is 40017372123013. The next prime is 40017372123101. The reversal of 40017372123040 is 4032127371004.

It is a junction number, because it is equal to n+sod(n) for n = 40017372122987 and 40017372123005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437163996 + ... + 437255524.

It is an arithmetic number, because the mean of its divisors is an integer number (200497380300).

Almost surely, 2^{40017372123040} is an apocalyptic number.

40017372123040 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 40017372123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57743245526400).

40017372123040 is an abundant number, since it is smaller than the sum of its proper divisors (75469118929760).

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

40017372123040 is a wasteful number, since it uses less digits than its factorization.

40017372123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91649 (or 91628 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

Adding to 40017372123040 its reverse (4032127371004), we get a palindrome (44049499494044).

The spelling of 40017372123040 in words is "forty trillion, seventeen billion, three hundred seventy-two million, one hundred twenty-three thousand, forty".