40096458000 has 640 divisors, whose sum is σ = 148469068800. Its totient is φ = 10469606400.

The previous prime is 40096457993. The next prime is 40096458001. The reversal of 40096458000 is 85469004.

40096458000 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 645 + 8 + 0 + 0 + 0 = 666.

40096458000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (40096458001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389285949 + ... + 389286051.

It is an arithmetic number, because the mean of its divisors is an integer number (231982920).

Almost surely, 2^40096458000 is an apocalyptic number.

40096458000 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 40096458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74234534400).

40096458000 is an abundant number, since it is smaller than the sum of its proper divisors (108372610800).

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

40096458000 is an equidigital number, since it uses as much as digits as its factorization.

40096458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40096458000 in words is "forty billion, ninety-six million, four hundred fifty-eight thousand".