40100040240 has 160 divisors (see below), whose sum is σ = 133980799680. Its totient is φ = 9862791168.

The previous prime is 40100040223. The next prime is 40100040247. The reversal of 40100040240 is 4204000104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (40100040247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4466476 + ... + 4475444.

It is an arithmetic number, because the mean of its divisors is an integer number (837379998).

Almost surely, 2^40100040240 is an apocalyptic number.

40100040240 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 40100040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66990399840).

40100040240 is an abundant number, since it is smaller than the sum of its proper divisors (93880759440).

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

40100040240 is a wasteful number, since it uses less digits than its factorization.

40100040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40100040240 its reverse (4204000104), we get a palindrome (44304040344).

The spelling of 40100040240 in words is "forty billion, one hundred million, forty thousand, two hundred forty".