40417090560 has 704 divisors, whose sum is σ = 179124618240. Its totient is φ = 8396144640.

The previous prime is 40417090541. The next prime is 40417090601. The reversal of 40417090560 is 6509071404.

40417090560 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 7 + 0 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×40417090560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10642582 + ... + 10646378.

Almost surely, 2^40417090560 is an apocalyptic number.

40417090560 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 40417090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89562309120).

40417090560 is an abundant number, since it is smaller than the sum of its proper divisors (138707527680).

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

40417090560 is a wasteful number, since it uses less digits than its factorization.

40417090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40417090560 in words is "forty billion, four hundred seventeen million, ninety thousand, five hundred sixty".