40128535040 has 320 divisors, whose sum is σ = 111367872000. Its totient is φ = 13714145280.

The previous prime is 40128535039. The next prime is 40128535133. The reversal of 40128535040 is 4053582104.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×40128535040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40128534988 and 40128535006.

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, 95771951 + ... + 95772369.

It is an arithmetic number, because the mean of its divisors is an integer number (348024600).

Almost surely, 2^40128535040 is an apocalyptic number.

40128535040 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 40128535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55683936000).

40128535040 is an abundant number, since it is smaller than the sum of its proper divisors (71239336960).

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

40128535040 is a wasteful number, since it uses less digits than its factorization.

40128535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 40128535040 in words is "forty billion, one hundred twenty-eight million, five hundred thirty-five thousand, forty".