33020510040 has 288 divisors, whose sum is σ = 125643426480. Its totient is φ = 7498842624.

The previous prime is 33020509987. The next prime is 33020510041. The reversal of 33020510040 is 4001502033.

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

It is a junction number, because it is equal to n+sod(n) for n = 33020509995 and 33020510022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020510041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2763519 + ... + 2775441.

Almost surely, 2^33020510040 is an apocalyptic number.

33020510040 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 33020510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62821713240).

33020510040 is an abundant number, since it is smaller than the sum of its proper divisors (92622916440).

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

33020510040 is a wasteful number, since it uses less digits than its factorization.

33020510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12111 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 33020510040 in words is "thirty-three billion, twenty million, five hundred ten thousand, forty".