33145122240 has 252 divisors, whose sum is σ = 118391717496. Its totient is φ = 8838139392.

The previous prime is 33145122229. The next prime is 33145122259. The reversal of 33145122240 is 4222154133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2091627 + ... + 2107413.

Almost surely, 2^33145122240 is an apocalyptic number.

33145122240 is a gapful number since it is divisible by the number (30) 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 33145122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59195858748).

33145122240 is an abundant number, since it is smaller than the sum of its proper divisors (85246595256).

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

33145122240 is an frugal number, since it uses more digits than its factorization.

33145122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15828 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 33145122240 its reverse (4222154133), we get a palindrome (37367276373).

The spelling of 33145122240 in words is "thirty-three billion, one hundred forty-five million, one hundred twenty-two thousand, two hundred forty".