40849212418560 has 640 divisors, whose sum is σ = 178584404866560. Its totient is φ = 8618733600768.

The previous prime is 40849212418541. The next prime is 40849212418613. The reversal of 40849212418560 is 6581421294804.

40849212418560 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 9 + 212 + 418 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40849212418497 and 40849212418506.

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, 3042724 + ... + 9537116.

It is an arithmetic number, because the mean of its divisors is an integer number (279038132604).

Almost surely, 2^{40849212418560} is an apocalyptic number.

40849212418560 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 40849212418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89292202433280).

40849212418560 is an abundant number, since it is smaller than the sum of its proper divisors (137735192448000).

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

40849212418560 is a wasteful number, since it uses less digits than its factorization.

40849212418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494445 (or 6494423 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 40849212418560 in words is "forty trillion, eight hundred forty-nine billion, two hundred twelve million, four hundred eighteen thousand, five hundred sixty".