40410099360 has 288 divisors, whose sum is σ = 140129196480. Its totient is φ = 10603229184.

The previous prime is 40410099349. The next prime is 40410099427. The reversal of 40410099360 is 6399001404.

40410099360 is a `hidden beast` number, since 404 + 100 + 9 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40410099360² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25114236 + ... + 25115844.

It is an arithmetic number, because the mean of its divisors is an integer number (486559710).

Almost surely, 2^40410099360 is an apocalyptic number.

40410099360 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 40410099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70064598240).

40410099360 is an abundant number, since it is smaller than the sum of its proper divisors (99719097120).

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

40410099360 is a wasteful number, since it uses less digits than its factorization.

40410099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 40410099360 in words is "forty billion, four hundred ten million, ninety-nine thousand, three hundred sixty".