40051975360 has 224 divisors, whose sum is σ = 100006099200. Its totient is φ = 15267901440.

The previous prime is 40051975349. The next prime is 40051975361. The reversal of 40051975360 is 6357915004.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40051975361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95589231 + ... + 95589649.

It is an arithmetic number, because the mean of its divisors is an integer number (446455800).

Almost surely, 2^40051975360 is an apocalyptic number.

40051975360 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 40051975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50003049600).

40051975360 is an abundant number, since it is smaller than the sum of its proper divisors (59954123840).

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

40051975360 is a wasteful number, since it uses less digits than its factorization.

40051975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 40051975360 in words is "forty billion, fifty-one million, nine hundred seventy-five thousand, three hundred sixty".