40461786288 has 360 divisors, whose sum is σ = 143221673504. Its totient is φ = 10437672960.

The previous prime is 40461786269. The next prime is 40461786329. The reversal of 40461786288 is 88268716404.

40461786288 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 1 + 7 + 8 + 628 + 8 = 666.

It is a super-2 number, since 2×40461786288² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19147920 + ... + 19150032.

Almost surely, 2^40461786288 is an apocalyptic number.

40461786288 is a gapful number since it is divisible by the number (48) 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 40461786288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71610836752).

40461786288 is an abundant number, since it is smaller than the sum of its proper divisors (102759887216).

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

40461786288 is a wasteful number, since it uses less digits than its factorization.

40461786288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40461786288 in words is "forty billion, four hundred sixty-one million, seven hundred eighty-six thousand, two hundred eighty-eight".