40501160000 has 560 divisors, whose sum is σ = 126451522560. Its totient is φ = 12545280000.

The previous prime is 40501159973. The next prime is 40501160027. The reversal of 40501160000 is 6110504.

It is a happy number.

It is a Cunningham number, because it is equal to 201249²-1.

It is an interprime number because it is at equal distance from previous prime (40501159973) and next prime (40501160027).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×40501160000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122359835 + ... + 122360165.

Almost surely, 2^40501160000 is an apocalyptic number.

40501160000 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 40501160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63225761280).

40501160000 is an abundant number, since it is smaller than the sum of its proper divisors (85950362560).

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

40501160000 is a wasteful number, since it uses less digits than its factorization.

40501160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 40501160000 its reverse (6110504), we get a palindrome (40507270504).

The spelling of 40501160000 in words is "forty billion, five hundred one million, one hundred sixty thousand".