40334123040 has 192 divisors, whose sum is σ = 129870397440. Its totient is φ = 10519649280.

The previous prime is 40334122979. The next prime is 40334123051. The reversal of 40334123040 is 4032143304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40334123040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323501 + ... + 4332819.

It is an arithmetic number, because the mean of its divisors is an integer number (676408320).

Almost surely, 2^40334123040 is an apocalyptic number.

40334123040 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 40334123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64935198720).

40334123040 is an abundant number, since it is smaller than the sum of its proper divisors (89536274400).

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

40334123040 is a wasteful number, since it uses less digits than its factorization.

40334123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40334123040 its reverse (4032143304), we get a palindrome (44366266344).

The spelling of 40334123040 in words is "forty billion, three hundred thirty-four million, one hundred twenty-three thousand, forty".