40105128000 has 672 divisors, whose sum is σ = 156654276480. Its totient is φ = 9012326400.

The previous prime is 40105127987. The next prime is 40105128013. The reversal of 40105128000 is 82150104.

It is an interprime number because it is at equal distance from previous prime (40105127987) and next prime (40105128013).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78791746 + ... + 78792254.

Almost surely, 2^40105128000 is an apocalyptic number.

40105128000 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 40105128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78327138240).

40105128000 is an abundant number, since it is smaller than the sum of its proper divisors (116549148480).

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

40105128000 is a wasteful number, since it uses less digits than its factorization.

40105128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 40105128000 its reverse (82150104), we get a palindrome (40187278104).

The spelling of 40105128000 in words is "forty billion, one hundred five million, one hundred twenty-eight thousand".