40333120000 has 100 divisors (see below), whose sum is σ = 100702894446. Its totient is φ = 16133120000.

The previous prime is 40333119961. The next prime is 40333120019. The reversal of 40333120000 is 2133304.

It can be written as a sum of positive squares in 5 ways, for example, as 8944619776 + 31388500224 = 94576^2 + 177168^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 256980 + ... + 383020.

Almost surely, 2^40333120000 is an apocalyptic number.

40333120000 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 40333120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50351447223).

40333120000 is an abundant number, since it is smaller than the sum of its proper divisors (60369774446).

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

40333120000 is an frugal number, since it uses more digits than its factorization.

40333120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126079 (or 126048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 40333120000 its reverse (2133304), we get a palindrome (40335253304).

The spelling of 40333120000 in words is "forty billion, three hundred thirty-three million, one hundred twenty thousand".