40749623055360 has 528 divisors, whose sum is σ = 143110807257600. Its totient is φ = 10719623577600.

The previous prime is 40749623055301. The next prime is 40749623055367. The reversal of 40749623055360 is 6355032694704.

40749623055360 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 9 + 6 + 23 + 0 + 553 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40749623055297 and 40749623055306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40749623055367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681065041 + ... + 2681080239.

Almost surely, 2^{40749623055360} is an apocalyptic number.

40749623055360 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 40749623055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71555403628800).

40749623055360 is an abundant number, since it is smaller than the sum of its proper divisors (102361184202240).

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

40749623055360 is a wasteful number, since it uses less digits than its factorization.

40749623055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16014 (or 15993 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 40749623055360 in words is "forty trillion, seven hundred forty-nine billion, six hundred twenty-three million, fifty-five thousand, three hundred sixty".