33542087040 has 768 divisors, whose sum is σ = 149807024640. Its totient is φ = 6967296000.

The previous prime is 33542087009. The next prime is 33542087083. The reversal of 33542087040 is 4078024533.

It is a happy number.

33542087040 is a `hidden beast` number, since 3 + 3 + 542 + 0 + 8 + 70 + 40 = 666.

It is a super-4 number, since 4×33542087040⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33542086986 and 33542087004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11973640 + ... + 11976440.

It is an arithmetic number, because the mean of its divisors is an integer number (195061230).

Almost surely, 2^33542087040 is an apocalyptic number.

33542087040 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 33542087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74903512320).

33542087040 is an abundant number, since it is smaller than the sum of its proper divisors (116264937600).

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

33542087040 is a wasteful number, since it uses less digits than its factorization.

33542087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 33542087040 in words is "thirty-three billion, five hundred forty-two million, eighty-seven thousand, forty".