40256090160 has 480 divisors, whose sum is σ = 152857091520. Its totient is φ = 8695357440.

The previous prime is 40256090123. The next prime is 40256090221. The reversal of 40256090160 is 6109065204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10946242 + ... + 10949918.

It is an arithmetic number, because the mean of its divisors is an integer number (318452274).

Almost surely, 2^40256090160 is an apocalyptic number.

40256090160 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 40256090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76428545760).

40256090160 is an abundant number, since it is smaller than the sum of its proper divisors (112601001360).

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

40256090160 is a wasteful number, since it uses less digits than its factorization.

40256090160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 40256090160 in words is "forty billion, two hundred fifty-six million, ninety thousand, one hundred sixty".