40498128 has 120 divisors (see below), whose sum is σ = 127167456. Its totient is φ = 11923200.

The previous prime is 40498111. The next prime is 40498151. The reversal of 40498128 is 82189404.

40498128 is a `hidden beast` number, since 40 + 498 + 128 = 666.

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 = 40498092 and 40498101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58263 + ... + 58953.

Almost surely, 2^40498128 is an apocalyptic number.

40498128 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 40498128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63583728).

40498128 is an abundant number, since it is smaller than the sum of its proper divisors (86669328).

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

40498128 is a wasteful number, since it uses less digits than its factorization.

40498128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 40498128 is about 6363.8139507688. The cubic root of 40498128 is about 343.4089815609.

The spelling of 40498128 in words is "forty million, four hundred ninety-eight thousand, one hundred twenty-eight".