40890140928 has 864 divisors, whose sum is σ = 156195285120. Its totient is φ = 10450944000.

The previous prime is 40890140927. The next prime is 40890140933. The reversal of 40890140928 is 82904109804.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×40890140928² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40890140927) 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, 162908803 + ... + 162909053.

It is an arithmetic number, because the mean of its divisors is an integer number (180781580).

Almost surely, 2^40890140928 is an apocalyptic number.

40890140928 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 40890140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78097642560).

40890140928 is an abundant number, since it is smaller than the sum of its proper divisors (115305144192).

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

40890140928 is a wasteful number, since it uses less digits than its factorization.

40890140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 40890140928 in words is "forty billion, eight hundred ninety million, one hundred forty thousand, nine hundred twenty-eight".