40100024160 has 288 divisors, whose sum is σ = 163265245920. Its totient is φ = 9165671424.

The previous prime is 40100024147. The next prime is 40100024179. The reversal of 40100024160 is 6142000104.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116962 + ... + 306398.

It is an arithmetic number, because the mean of its divisors is an integer number (566893215).

Almost surely, 2^40100024160 is an apocalyptic number.

40100024160 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 40100024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81632622960).

40100024160 is an abundant number, since it is smaller than the sum of its proper divisors (123165221760).

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

40100024160 is a wasteful number, since it uses less digits than its factorization.

40100024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189475 (or 189454 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40100024160 its reverse (6142000104), we get a palindrome (46242024264).

The spelling of 40100024160 in words is "forty billion, one hundred million, twenty-four thousand, one hundred sixty".