40901027328 has 960 divisors, whose sum is σ = 156409989120. Its totient is φ = 10296557568.

The previous prime is 40901027303. The next prime is 40901027329. The reversal of 40901027328 is 82372010904.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40901027292 and 40901027301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40901027329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870234601 + ... + 870234647.

It is an arithmetic number, because the mean of its divisors is an integer number (162927072).

Almost surely, 2^40901027328 is an apocalyptic number.

40901027328 is a gapful number since it is divisible by the number (48) 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 40901027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204994560).

40901027328 is an abundant number, since it is smaller than the sum of its proper divisors (115508961792).

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

40901027328 is a wasteful number, since it uses less digits than its factorization.

40901027328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40901027328 in words is "forty billion, nine hundred one million, twenty-seven thousand, three hundred twenty-eight".