40150080000 has 500 divisors, whose sum is σ = 149845510650. Its totient is φ = 10699776000.

The previous prime is 40150079917. The next prime is 40150080023. The reversal of 40150080000 is 8005104.

It can be written as a sum of positive squares in 5 ways, for example, as 28387584 + 40121692416 = 5328^2 + 200304^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×40150080000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919226 + ... + 25920774.

Almost surely, 2^40150080000 is an apocalyptic number.

40150080000 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 40150080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74922755325).

40150080000 is an abundant number, since it is smaller than the sum of its proper divisors (109695430650).

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

40150080000 is an frugal number, since it uses more digits than its factorization.

40150080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 40150080000 its reverse (8005104), we get a palindrome (40158085104).

The spelling of 40150080000 in words is "forty billion, one hundred fifty million, eighty thousand".